Probability Quiz Set 014

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Question 1

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

 A

${1/221}$.

 B

$3/6$.

 C

$2/221$.

 D

$6/221$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = 52C2 = $(52 × 51)/2$ = 1326. There are 4 Kings in all, so 2 can be drawn in 4C2 = $(4 × 3)/2 = 6$ ways. The probability is 6/1326 = ${1/221}$.


Question 2

A box contains 8 orange, 6 khaki and 2 navy marbles. What is the probability of drawing a marble that is not navy if 2 marbles are drawn out randomly?

 A

${91/120}$.

 B

$2/16$.

 C

$92/120$.

 D

$96/120$.

Soln.
Ans: a

Total number of marbles is 16. Combinations of 2 marbles that are possible = 16C2 = ${16 × 15}/2$ = 120. Chances of drawing a non-navy ball are 14C2 = $(14 × (14 - 1))/2$ = 91. So probability = 91/120 = ${91/120}$.


Question 3

Two fair dice are tossed simultaneously. What is the probability of getting two numbers whose product is odd?

 A

1/4.

 B

2/3.

 C

3/4.

 D

4/5.

Soln.
Ans: a

Out of a total of 6 × 6 = 36 outcomes, the favorable ones are: 11, 13, 15, 33, 35, 31, 51, 53, 55. So total favorable are: 9. Probability = 9/36 = 1/4.


Question 4

A carton consists of 100 hats out of which 72 are good, 6 have minor defects and the remaining have major defects. A hat is taken out at random. What is the probability that it has a major defect?

 A

${11/50}$.

 B

$6/72$.

 C

$12/50$.

 D

$16/50$.

Soln.
Ans: a

Out of 100 outcomes, the ones that favor a hat with a major defect are 100 - 72 - 6 = 22. So probability = 22/100 = ${11/50}$.


Question 5

A carton consists of 100 hats out of which 50 are good, 4 have minor defects and the remaining have major defects. A hat is taken out at random. What is the probability that it has a major defect?

 A

${23/50}$.

 B

$4/50$.

 C

$24/50$.

 D

$28/50$.

Soln.
Ans: a

Out of 100 outcomes, the ones that favor a hat with a major defect are 100 - 50 - 4 = 46. So probability = 46/100 = ${23/50}$.


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Creative Commons License
This Blog Post/Article "Probability Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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