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## Quant Quiz On Probability Day 25 Bag

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- There are 100 tickets in a box numbered 1 to 100. 3 tickets are drawn at one by one. Find the probability that the sum of number on the tickets is odd.

A) 2/7

B) 1/2

C) 1/3

D) 2/5

E) 3/7 - There are 4 green and 5 red balls in first bag. And 3 green and 5 red balls in second bag. One ball is drawn from each bag. What is the probability that one ball will be green and other red?

A) 85/216

B) 34/75

C) 95/216

D) 35/72

E) 13/36 - A bag contains 2 red, 4 blue, 2 white and 4 black balls. 4 balls are drawn at random, find the probability that at least one ball is black.

A) 85/99

B) 81/93

C) 83/99

D) 82/93

E) 84/99 - Four persons are chosen at random from a group of 3 men, 3 women and 4 children. What is the probability that exactly 2 of them will be men?

A) 1/9

B) 3/10

C) 4/15

D) 1/10

E) 5/12 - Tickets numbered 1 to 120 are in a bag. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A) 8/15

B) 5/16

C) 7/15

D) 3/10

E) 13/21 - There are 2 people who are going to take part in race. The probability that the first one will win is 2/7 and that of other winning is 3/5. What is the probability that one of them will win?

A) 14/35

B) 21/35

C) 17/35

D) 19/35

E) 16/35 - Two cards are drawn at random from a pack of 52 cards. What is the probability that both the cards drawn are face card (Jack, Queen and King)?

A) 11/221

B) 14/121

C) 18/221

D) 15/121

E) 14/221 - A committee of 5 people is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have less number of boys than girls?

A) 7/12

B) 7/15

C) 6/13

D) 5/12

E) 7/13 - A bucket contains 2 red balls, 4 blue balls, and 6 white balls. Two balls are drawn at random. What is the probability that they are not of same color?

A) 5/11

B) 14/33

C) 2/5

D) 6/11

E) 2/3 - A bag contains 5 blue balls, 4 black balls and 3 red balls. Six balls are drawn at random. What is the probability that there are equal numbers of balls of each color?

A) 11/77

B) 21/77

C) 22/79

D) 13/57

E) 15/77

**Directions (1-3): An urn contains some balls colored white, blue and green. The probability of choosing a white ball is 4/15 and the probability of choosing a green ball is 2/5. There are 10 blue balls.**

- What is the probability of choosing one blue ball?

A) 2/7

B) 1/4

C) 1/3

D) 2/5

E) 3/7 - What is the total number of balls in the urn?

A) 45

B) 34

C) 40

D) 30

E) 42 - If the balls are numbered 1, 2, …. up to number of balls in the urn, what is the probability of choosing a ball containing a multiple of 2 or 3?

A) 3/4

B) 4/5

C) 1/4

D) 1/3

E) 2/3 - There are 2 brothers A and B. Probability that A will pass in exam is 3/5 and that B will pass in exam is 5/8. What will be the probability that only one will pass in the exam?

A) 12/43

B) 19/40

C) 14/33

D) 21/40

E) 9/20 - If three dices are thrown simultaneously, what is the probability of having a same number on all dices?

A) 1/36

B) 5/36

C) 23/216

D) 1/108

E) 17/216 - There are 150 tickets in a box numbered 1 to 150. What is the probability of choosing a ticket which has a number a multiple of 3 or 7?

A) 52/125

B) 53/150

C) 17/50

D) 37/150

E) 32/75 - There are 55 tickets in a box numbered 1 to 55. What is the probability of choosing a ticket which has a prime number on it?

A) 3/55

B) 5/58

C) 8/21

D) 16/55

E) 4/13 - A bag contains 4 white and 5 blue balls. Another bag contains 5 white and 7 blue balls. What is the probability of choosing two balls such that one is white and the other is blue?

A) 61/110

B) 59/108

C) 45/134

D) 53/108

E) 57/110 - The odds against an event are 2 : 3 and the odds in favor of another independent event are 3 : 4. Find the probability that at least one of the two events will occur.

A) 11/35

B) 27/35

C) 13/35

D) 22/35

E) 18/35 - The odds against an event are 1 : 3 and the odds in favor of another independent event are 2 : 5. Find the probability that one of the event will occur.

A) 17/28

B) 5/14

C) 11/25

D) 9/14

E) 19/28

- From a pack of 52 cards, 1 card is chosen at random. What is the probability of the card being diamond or queen?

A) 2/7

B) 6/15

C) 4/13

D) 1/8

E) 17/52 - From a pack of 52 cards, 1 card is drawn at random. What is the probability of the card being red or ace?

A) 5/18

B) 7/13

C) 15/26

D) 9/13

E) 17/26 - There are 250 tickets in an urn numbered 1 to 250. One ticket is chosen at random. What is the probability of it being a number containing a multiple of 3 or 8?

A) 52/125

B) 53/250

C) 67/125

D) 101/250

E) 13/25 - There are 4 white balls, 5 blue balls and 3 green balls in a box. 2 balls are chosen at random. What is the probability of both balls being non-blue?

A) 23/66

B) 5/18

C) 8/21

D) 7/22

E) 1/3 - There are 4 white balls, 3 blue balls and 5 green balls in a box. 2 balls are chosen at random. What is the probability that first ball is green and second ball is white or green in color?

A) 1/3

B) 5/18

C) 1/2

D) 4/21

E) 11/18 - 2 dices are thrown. What is the probability that there is a total of 7 on the dices?

A) 1/3

B) 2/7

C) 1/6

D) 5/36

E) 7/36 - 2 dices are thrown. What is the probability that sum of numbers on the two dices is a multiple of 5?

A) 5/6

B) 5/36

C) 1/9

D) 1/6

E) 7/36 - There are 25 tickets in a box numbered 1 to 25. 2 tickets are drawn at random. What is the probability of the first ticket being a multiple of 5 and second ticket being a multiple of 3.

A) 5/11

B) 1/4

C) 2/11

D) 1/8

E) 3/14 - What is the probability of selecting a two digit number at random such that it is a multiple of 2 but not a multiple of 14?

A) 17/60

B) 11/27

C) 13/30

D) 31/60

E) 17/30 - There are 2 urns. 1st urn contains 6 white and 6 blue balls. 2nd urn contains 5 white and 7 black balls. One ball is taken at random from first urn and put to second urn without noticing its color. Now a ball is chosen at random from 2nd urn. What is the probability of the second ball being a white colored ball?

A) 11/13

B) 6/13

C) 5/13

D) 5/12

E) 11/12