Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A box contains 8 khaki, 2 sky blue and 7 navy marbles. What is the probability of drawing a navy marble if 2 marbles are drawn out randomly?

**A**

${91/136}$.

**B**

$7/17$.

**C**

$92/136$.

**D**

$96/136$.

**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 navy, then both balls will be navy in ^{7}C_{2} = ${7 × (7 - 1)}/2$ = 21 ways. The number of ways in which non-navy can be drawn out are 7 × (8 + 2). So total favorable outcomes = 21 + 7 × 10 = 91, and the probability is 91/136 = ${91/136}$.

### Question 2

From a deck of 52 cards 1 card is drawn at random. What is the probability that it will be a red "5"?

### Question 3

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

### Question 4

A box contains 3 navy, 4 green and 5 khaki marbles. What is the probability of drawing a marble that is not khaki if 2 marbles are drawn out randomly?

**A**

${7/22}$.

**B**

$5/12$.

**C**

$8/66$.

**D**

$12/66$.

**Soln.**

**Ans: a**

Total number of marbles is 12. Combinations of 2 marbles that are possible = ^{12}C_{2} = ${12 × 11}/2$ = 66. Chances of drawing a non-khaki ball are ^{7}C_{2} = $(7 × (7 - 1))/2$ = 21. So probability = 21/66 = ${7/22}$.

### Question 5

What is the probability of getting a sum of 13 from two throws of a dice?

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This Blog Post/Article "Probability Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.