Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A class has 7 boys and 4 girls. What is the probability of choosing 1 boy and 2 girls?

**A**

${14/55}$.

**B**

$8/11$.

**C**

$15/55$.

**D**

$19/55$.

**Soln.**

**Ans: a**

Three students have to be picked. Total number of ways = ^{11}C_{3} = ${11 × 10 × 9}/{3 × 2 × 1} = $165. Number of ways of picking 1 boy and 2 girls = ^{7}C_{1} × ^{4}C_{2} = 42. So probability = $42/165$ = ${14/55}$.

### Question 2

Which of these cannot be a probability of an event?

### Question 3

Two players, A and B, play a game. It is known that probability of A's victory is 0.58. What is the probability of B's victory?

### Question 4

Two fair dice are tossed simultaneously. What is the probability that the total score is a prime number?

**A**

5/12.

**B**

3/5.

**C**

1/6.

**D**

5/36.

**Soln.**

**Ans: a**

Out of a total of 6 × 6 = 36 outcomes, the favorable ones are: (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5). So total favorable are: 15. Probability = 15/36 = 5/12.

### Question 5

48 defective pens are accidentally mixed with 56 good ones. It is not possible to just look at a pen and tell whether it is defective or not. One pen is taken out at random. What is the probability that it is a defective pen?

### More Chapters | See All...

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This Blog Post/Article "Probability Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.