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Probability Questions & Answers

Practice the crucial Probability questions that are constantly repeated on examinations. Probability-related questions and answers carry a medium weightage in the examination and must be exercised on a routine basis.

Q11

Q11 A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.

A

5/21

B

3/14

C

6/22

D

4/21

Q12

Q12 When 3 fair coins are tossed together, what is the probability of getting at least 2 tails?

A

1/2

B

1/3

C

1/4

D

3/4

Q13

Q13 Eleven books, consisting of five Engineering books, four Mathematics books and two Physics books, are arranged in a shelf at random. What is the probability that the books of each kind are all together?

A

5/1155

B

2/1155

C

3/1155

D

1/1155

Q14

Q14 In a race, the odds in 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.

A

9/17

B

114/121

C

319/420

D

27/111

Q15

Q15 A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.

A

1/7

B

1/2

C

3/7

D

2/3

Q16

Q16 Tickets numbered 1 to 30 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?

A

2/15

B

7/15

C

10/30

D

7/30

Q17

Q17 Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 1/5 respectively. Find the probability of success of at least two.

A

1/6

B

2/5

C

3/4

D

3/5

Q18

Q18 Four boys and three girls stand in queue for an interview. The probability that they stand in alternate positions is?

A

1/35

B

1/34

C

1/68

D

1/17

Q19

Q19 Seven white balls and three black balls are randomly placed in a row. Find the probability that no two black balls are placed adjacently to each other.

A

7/15

B

2/15

C

3/7

D

2/7

Q20

Q20 A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spade nor a jack?

A

9/13

B

4/13

C

2/13

D

6/13

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