Probability Related MCQs For Job's Test Preparation

1 - 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.





1/5

2 - 10 books are placed at random in a shelf. The probability that a pair of books will always be together is_________?





44931

3 - 6 Coins are tossed simultaneously. find the probability to get 2 hands





15/64

4 - A and B aim a target. The Probability that A hits the target is 5/7 and B hits the target in 7/10. What is the probability that exactly one of them hits the target ?





29/70

5 - A and B are two events such that P(A) = 0.3 and P ( A∪B) = 0.8. If A and B are independent, then P (B) is





45023

6 - A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?





45220

7 - A bag contains 2 red, 3 green and 2 blue balls.Two balls are drawn at random.What is the probability that none of the drawn ball is blue?





45220

8 - A bag contains 3 red, 4 white and 7 black balls. The probability of drawing a red or a black ball, is





45053

9 - A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:





33270

10 - A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black ?





44932

11 - A bag contains 5 white, 7 red and 8 black balls. If 4 balls are drawn one by one with replacement, what is the probability that all are white ?





1/256

12 - A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.





551/15134

13 - A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.





551/15134

14 - A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?





45023

15 - A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?Two cards are drawn together from a pack of 52 cards. The probability that o





13/102

16 - A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.





45122

17 - A bag contains 6 white and 4 black balls. Two balls are drawn at random. Find the probability that they are of same colour.





45122

18 - A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.





45245

19 - A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.





45122

20 - A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?





45055

21 - A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?





45055

22 - A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non de





316/435

23 - A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.





25/42

24 - A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?





25/42

25 - A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is





45126

26 - A box contains 24 marbles, some are green and other are blue. If a marble is drawn at random from the box, the porbability that it is green is 2/3. The number of blue balls in the box is





8

27 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?





33/91

28 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?





33/91

29 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?





12/455

30 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?





1/455

31 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?





1/455

32 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?





23/35

33 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?





44978

34 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?





44978

35 - A box contains 3 white and 2 red balls. If we draw one ball and ball and without replacing the first ball. The probability of drawing red ball in the second drawn is ?





44962

36 - A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is: -





3/286

37 - A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour.





41/44

38 - A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of





833/858

39 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.





1/42

40 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.





1/126

41 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good.





125/126

42 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.





125/126

43 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.





20/63

44 - A boy gets a chance of 55% to win 1st round of a game and a girl gets a chance of 60% to win 2nd round of the game. In what % of cases are they likely to contradict each other, narrating the same inci





0.49

45 - A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probab





44929

46 - A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is ?





44936

47 - A card is drawn at random from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king ?





45182

48 - A card is drawn from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king ?





45182

49 - A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is





44952

50 - A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is___________?





44952

51 - A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or a king of heart is ?





44952

52 - A coin is tossed live times. What is the probability that there is at the least one tail?





31/32

53 - A coin is tossed live times. What is the probability that there is at the least one tail?





31/32

54 - A committee of 3 members is to be selected to be selected out of 3 man and 2 women . What is the probability that the committee has at least one women ?





45179

55 - A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the light will not be gr





45119

56 - A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?





44962

57 - A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event'the number appearing is even' then find whether G and H are independent ?





G and H are independent events.

58 - A discrete probability distribution may be represented by





All of these

59 - A fair coin is tossed four times, the probability of getting four heads is





44942

60 - A listing of the possibile outcomes of an experiment and their corresponding probability is called





Probability distribution

61 - A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability





44964

62 - A number is selected at random from the set {1, 2, 3, ........, 50}. The probability that it is a prime, is





0.3

63 - A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?





44989

64 - A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is





3.1

65 - A six - faced dice is so biased that is twice as likely to show an even number as an odd number when throw. It is thrown twice. The probability that the sum of two number thrown is even is ?





45055

66 - A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident?





0.35

67 - A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident





0.35

68 - A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident





35/100

69 - A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?





13/42

70 - An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it ,The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2, and 0.





0.6976

71 - An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?





44928

72 - An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?





44928

73 - An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event‘odd number on the second throw’. Check the independence of the events A and B.





A and B are independent events

74 - An unbiased die is tossed.Find the probability of getting a multiple of 3.





44929

75 - An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?





44992

76 - An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two are green and one is red ?





18/35

77 - Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white





44960

78 - Binomial distribution has parameters





2

79 - Binomial distribution is negatively skewed when





p>1/2

80 - Binomial distribution is symmetrical when





p = q

81 - Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube ?





14611

82 - Each trial in Binomial distribution has





Two Outcome

83 - Events A and B are such that P (A) = 1/3, P(B) = 7/6, and P(not A or not B) = 1/4. State whether A and B are independent?





A and B are not independent

84 - Find the probability that getting 4 digit number with 1 in the unit place and 2 in the tens place when the numbers 1,2,3,4 and 5 are arranged at random without repeating.





44946

85 - Five coins are tossed at a time. Then, the probability of obtaining at least one tail is





31/32

86 - For a probability density function (pdf), the probability of a single point is





0

87 - For a random variable X, E(X) is





Arithmetic Mean (AM)

88 - For distribution Function F(X), F(−∞)=0 and F(∞)= ?





1

89 - Formula to calculate standardized normal random variable is





x - μ ⁄ σ

90 - Four dice are thrown simultaneously. Find the probability that all of them show the same face.





1/216

91 - Four whole number taken at random are multiplied together. The chance that the last digit in the product is 1, 3, 7, or 9 is ?





16/625

92 - From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.





45029

93 - From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?





1/221

94 - From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings





1/221

95 - From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king ?





None of these

96 - From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.





44952

97 - From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is_________?





44952

98 - From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is ?





45124

99 - Hypergeometric distribution has parameters





3

100 - I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number ?





1/1000

101 - I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?





1/1000

102 - If A and B are two events such that P (A) = 3/4, P (B) = 1/2 and P (A n B) = 3/8, find P (not A and not B).





44934

103 - If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.





44938

104 - If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.





44938

105 - If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club(♣)?





26/52=1/2

106 - If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?





19207

107 - If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.





45029

108 - If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?





45029

109 - If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.





44951

110 - If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?





44951

111 - If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ?





44962

112 - If C is non-random variable, the E(C) is





C

113 - If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is ?





17989

114 - If four balls are picked at random, what is the probability that two are green and two are blue ?





25569

115 - If four caps are picked at random, what is the probability that none is green ?





36342

116 - If four coins are tossed, the probability of getting two heads and two tails is -.





44993

117 - If four coins are tossed, the probability of getting two heads and two tails is__________?





44993

118 - If four marbles are picked at random, what is the probability that at least one is blue ?





22/91

119 - If four marbles are picked at random, what is the probability that one is green, two are blue and one is red ?





24/455

120 - if from each of the three boxes containing 3 white and 1 black, 2 white and 2 black and 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black ball will





13/32

121 - If in a binomial distribution n = 1 then E(X) is





p

122 - If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions ?





44932

123 - If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.





45163

124 - If six persons sit in a row, then the probability that three particular persons are always together is -.





44931

125 - If six persons sit in a row, then the probability that three particular persons are always together is____________?





44931

126 - If three caps are picked at random, what is the probability that two are red and one is green ?





45007

127 - If three marbles are picked at random, what is the probability that two are blue and one is yellow ?





18/455

128 - If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is





44993

129 - If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.





44928

130 - If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?





44928

131 - If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?





44932

132 - If two marbles are picked at random, what is the probability that both marbles are red ?





None of the above

133 - If two marbles are picked at random, what is the probability that either both are green or both are yellow ?





4/105

134 - If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?





15/36

135 - In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesi





45054

136 - In a binomial probability distribution it is impossible to find





P(X < 0)

137 - In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?





45159

138 - In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?





44929

139 - In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?





44962

140 - In a class, there are 12 boys and 16 girls. One of them is called out by an enroll number, what is the probability that the one called is a girl?





45023

141 - In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:





21/46

142 - In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:





21/46

143 - In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?





19/66

144 - In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?





44964

145 - In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?





45067

146 - In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?





45067

147 - In a Poisson probability distribution





The mean and variance of the distribution are same (equal)

148 - In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.





319/420

149 - In a school, 45% of the students play football, 30% play volleyball and 15% both. If a student is selected at random, then the probability that he plays football or volleyball is:





44990

150 - In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.





44928

151 - In a simultaneous throw of two coins, the probability of getting at least one head is ?





44989

152 - In a simultaneous throw of two dice find the probability of getting a total of 8 .





13271

153 - In a throw of a coin, the probability of getting a head is ?





44928

154 - In a throw of coin what is the probability of getting head.





44928

155 - In a throw of coin what is the probability of getting tails.





44928

156 - In a throw of dice what is the probability of getting number greater than 5





44932

157 - In a ward-robe, Nitish has 3 trousers. One of them is black, second is blue and third brown. In this ward-robe, he has 4 shirts also. One of them is black and the other 3 are white. He opens his ward-





44928

158 - In binomial distribution n=6 and p=0.9, then the value of P(X=7) is





Zero

159 - In binomial probability distribution, dependents of standard deviations must includes





all of above

160 - In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his war





44928

161 - In hypergeometric distribution, the trials are





Dependent

162 - In random experiment, observations of random variable are classified as





trials

163 - In special rule of addition of probability, the events are always





Mutually Exclusive events

164 - In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is ?





169/425

165 - In which approach to probability the outcomes are equally likely to occur?





Classical Probability

166 - In which distribution successive trials are without replacement





Hypergeometric distribution

167 - Let A and B be independent events with P (A) = 0.13 and P(B) = 0.3. Find P(B/A)?





0.3

168 - Let A and B be independent events with P (A) = 0.2 and P(B) = 0.8. Find P(A/B)?





0.2

169 - Let A and B be independent events with P (A) = 0.7 and P(B) = 0.7. Find P(A n B)?





0.49

170 - Let E be the set of all integers with 1 at their unit places. The probability that a number chosen from {2, 3, 4, ............, 50} is an element of E, is ?





17989

171 - n books are to be arranged on a self. These include m volumes of a science book (m < n). The probability that in any arrangement, the volumes of science books are in ascending order is ?





1/m!

172 - Number 1 to 25 are marked on tokens of equals size one on each. A token is drawn at random. Find the probability of getting a number divisible by both 2 and 3?





45041

173 - One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?





44998

174 - One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card ?





45029

175 - One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?





45120

176 - One hundred identical coins each with probability p of showing up head are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equals to that of heads on 51 coins. Then the value





51/101

177 - Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?





45052

178 - Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?





45052

179 - Out of 13 applicants for a job, there are 5 women and 8 men It is desired to select 2 persons for the job, The probability that atleast one of the selected persons will be a woman, is





25/39

180 - Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.





45245

181 - Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?





Cannot be determined

182 - Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.





25/34

183 - Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.





17/20

184 - Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is_____________?





17/20

185 - Probability distribution of a random variable is also known as





Probability Function

186 - Probability of occurrence of an event lies between





0 and 1

187 - Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target ?





44960

188 - Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ?





45122

189 - Seven white balls and three black balls are randomly placed in a row, The probability that no two black balls are placed adjacently equals ?





45122

190 - Successive trials in binomial distribution are





Independent

191 - The chance of throwing a total of 3 or 5 or 11 with two dics is ?





44966

192 - The collection of one or more outcomes from an experiment is called





Event

193 - The distribution function F(X) is represented by





P(X≤x)

194 - The first 7 alphabets are written down at random. what is the probability that the letters a,b,c always come together?





44933

195 - The joint probability is





The likelihood of two events happening together

196 - The last 5 alphabets are written at random then the probability that the letters y and z are written down side by side is : -





44962

197 - The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability ?





1/120

198 - The mean of binomial distribution is





np

199 - The mean, median and mode for binomial distribution will be equal when





p =0.5

200 - The number of tosses that have to be made in order that there is 99% probability of getting at least one head is ?





7

201 - The probability function is always





Non Negative

202 - The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?





0.5904

203 - The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.





0.5904

204 - The probability of obtaining an even prime number on each die, when a pair of dice is rolled





13150

205 - The probability of occurrence of a multiple of 2 on a dice and multiple of 3 on the other dice . If both are thrown together is ?





44929

206 - The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur ?





0.8

207 - The probability of success changes from trial to trial in





Hypergeometric distribution

208 - The probability that a card drawn from a pack of 52 cards will from a pack of 52 cards will be diamond or king being to ?





45029

209 - The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ?





44928

210 - The probability that a man will be alive for 10 more years is 1/4 and the probability that his wife will alive for 10 more years is 1/3 .The probability that none of them will be alive for 10 more yea





999/100

211 - The probability that a man will live 10 more year is 1/4 and the probability that his wife will live 10 more year is 1/3. Then, the probability that none of them will be alive after 10 yr, is ?





44928

212 - The probability that a number selected at random from the first 50 natural numbers is a composite number is -.





17/25

213 - The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?





17/25

214 - The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?





18/35

215 - The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?





18/35

216 - The probability that a teacher will give one surprise test during any class meeting in a week is 1/5. If a student is absent twice. What is the probability that he will miss at least one test ?





44941

217 - The successive trials are with replacement in





Binomial distribution

218 - The the special rule of multiplication of probability, the events must be





Independent

219 - The variance of binomial distribution is always





Less than mean

220 - There are 12 boys and 8 girls in a tution centre. If three of them scored first mark, then what is the probability that one of the three is a girl and the other two are boys?





none of these

221 - There are 8 blue and 4 white balls in a bag . A ball is drawn at random. Without replacing it another ball is drawn. Find the probability that both the balls drawn are blue ?





14/33

222 - There are four machine and it is know that exactly two of them are faulty, They are tested. One by one in a random order till both the faulty machines are identified. Then the probability that only tw





44932

223 - There is a pack of 52 cards and Rohan draws two cards together, what is the probability that one is spade and one is heart ?





13/102

224 - Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.





13150

225 - Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.





13150

226 - Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.





45058

227 - Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.





45058

228 - Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is -.





45055

229 - Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?





45055

230 - Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.What is the probability that first two cards are queens and the third card drawn is an ace?





1325863

231 - Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :





44935

232 - Three mangoes and three apples are kept in a box. if two fruits are chosen at random. find the probability that one is a mango and the other is an apple.





44990

233 - Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is ?





1/(365)2

234 - Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?





44928

235 - Three unbiased coins are tossed, what is the probability of getting exactly two heads ?





44993

236 - Three unbiased coins are tossed. What is the probability of getting at most two heads?





45115

237 - Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?





45189

238 - Total Area under the curve in probability of density function is





1

239 - Tow persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/3 and 1/6 respectively, then the probability that none of them is selected, is





45054

240 - Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected





23043

241 - Two cards are drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces ?





1/221

242 - Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?





55/221

243 - Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:





13/102

244 - Two dice are thrown simultaneously ,what is the probability of getting a total of 7?





44932

245 - Two dice are thrown simultaneously. What is the probability of getting a number other than 4 on any dice ?





17/36

246 - Two dice are thrown simultaneously. What is the probability of getting the face numbers are same?





44932

247 - Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at least 10?





44932

248 - Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at most 5?





45064

249 - Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is odd?





44928

250 - Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?





44989

251 - Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?





44989

252 - Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.





45125

253 - Two dice are tossed. The probability that the total score is a prime number is:





45058

254 - Two groups, A and B wrote an exam. The probability of A's pass is 2/7 and the probability of B's pass is 2/5. What is the probability that only one of them is passed out?





18/35

255 - Two number are selected randomly from the set S = {1, 2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the number is less than 4 is ?





45021

256 - Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack ?





7/1339

257 - Two unbiased coin are tossed .What is the probability of getting at most one head?





44989

258 - Two unbiased dice are thrown simultaneously. the probability of getting the sum divisible by 3, is ?





13485

259 - What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?





45053

260 - What if the probability of getting a king or a queen in a single drawn from a pack of 52 cards ?





44970

261 - What is probability of drawing two clubs from a well shuffled pack of 52 cards?





44943

262 - What is the possibility of getting at least 6 heads, if eight coins are tossed simultaneously ?





37/256

263 - What is the probability of getting 53 Mondays in a leap year?





44964

264 - What is the probability of getting a sum 9 from two throws of a dice?





44935

265 - What is the probability of getting a sum 9 from two throws of dice.





44935

266 - What is the probability that a card drawn at random from a pack of 52 cards is either a king or a spade?





45029

267 - What is the probability that a leap year has 53 Sundays and 52 Mondays?





44933

268 - What is the probability that a leap year has 53 Sundays and 52 Mondays?





44933

269 - What is the probability that a non-leap year contains 52 Tuesday only ?





45084

270 - What is the probability that an ordinary year has 53 Sundays ?





44933

271 - What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards, it contains all Queens





192/379015

272 - What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, it contains 2 Queen





29187/1017926

273 - when three coins are tossed together the probability that all coins have the same face up, is ?





44934

274 - When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is ?





45125

275 - Which of the following is not a condition of the binomial distribution?





must have at least 3 trials

276 - Which of the following is not a correct statement about a probability.





It is the collection of several experiments

277 - Which of the following is not the property of binomial distribution





Probability of success varies from trial to trial

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