Probability Quiz Set 003

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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 = 17C2 = ${17 × 16}/2$ = 136. If one of the two balls is navy, then both balls will be navy in 7C2 = ${7 × (7 - 1)}/2$ = 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"?

 A

${1/26}$.

 B

$5/7$.

 C

$2/26$.

 D

$6/26$.

Soln.
Ans: a

Number of ways of drawing 1 card = 52. There are two red "5" in the whole pack. So favorable chances are 2. Probability = 2/52 = 1/26.


Question 3

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

 A

7/8.

 B

3/8.

 C

1/8.

 D

5/8.

Soln.
Ans: a

Three coins will give 8 possibilities = 2 × 2 × 2. At most two heads means 1 or 2 heads. We will not get this only when all tails come, which is possible only once. So 8 - 1 = 7 chances are favorable. The probability = 7/8.


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 = 12C2 = ${12 × 11}/2$ = 66. Chances of drawing a non-khaki ball are 7C2 = $(7 × (7 - 1))/2$ = 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?

 A

0.

 B

1/3.

 C

2/3.

 D

1/6.

Soln.
Ans: a

Total outcomes = 36. Favorable are 0 because maximum sum possible is 6 + 6 = 12. So probability = 0.


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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.

Posted by Parveen(Hoven),
Aptitude Trainer


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