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### Question 1

A box contains 5 maroon, 4 pink and 8 sky blue balls. What is the probability of drawing a ball that is neither pink nor maroon?

### Question 2

9 bowls are lying inverted on a table. 2 of them contain prizes, but 7 of them are empty. What is the probability of getting a prize if one of the bowls is opened randomly?

### Question 3

A bag contains 2 Red, 8 Blue and 7 Green marbles. What is the probability of drawing a Red marble if 2 marbles are drawn out randomly?

**A**

${31/136}$.

**B**

$7/17$.

**C**

$32/136$.

**D**

$36/136$.

**Soln.**

**Ans: a**

Total number of marbles is 17. Combinations of 2 marbles that are possible = ^{17}C_{2} = ${17 × 16}/2$ = 136. If one of the two balls is red, then red + red is one possibility, and 2 × (8 + 7) are the other possibilities. So total favorable outcomes = 1 + 2 × 15 = 31, and the probability is 31/136 = ${31/136}$.

### Question 4

From a deck of 52 cards two cards are drawn at random. What is the probability that both will be "10"?

### Question 5

A box contains 3 pink, 4 maroon and 6 orange marbles. What is the probability of drawing a orange marble if 2 marbles are drawn out randomly?

**A**

${19/26}$.

**B**

$6/13$.

**C**

$20/78$.

**D**

$24/78$.

**Soln.**

**Ans: a**

Total number of marbles is 13. Combinations of 2 marbles that are possible = ^{13}C_{2} = ${13 × 12}/2$ = 78. If one of the two balls is orange, then both balls will be orange in ^{6}C_{2} = ${6 × (6 - 1)}/2$ = 15 ways. The number of ways in which non-orange can be drawn out are 6 × (3 + 4). So total favorable outcomes = 15 + 6 × 7 = 57, and the probability is 57/78 = ${19/26}$.

This Blog Post/Article "Probability Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2018-01-02.