Probability Quiz Set 002

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Question 1

From a deck of 52 cards two cards are drawn at random. What is the probability that both one is a clubs, and the other a hearts?

 A

${13/102}$.

 B

$8/9$.

 C

$14/102$.

 D

$18/102$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = 52C2 = $(52 × 51)/2$ = 1326. There are 13 clubs and 13 hearts in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.


Question 2

A box contains 82 red balls and an unknown number of blue balls. If the probability of drawing a blue ball is 2 times the probability of drawing a red ball, then how many blue balls are there in the box?

 A

164.

 B

169.

 C

159.

 D

174.

Soln.
Ans: a

Let the number of blue balls be x. Chances of drawing a blue ball are $x/{x + 82}$ = 2 × $82/{x + 82}$, which gives x = 2 × 82 = 164.


Question 3

Two players, A and B, play a game. It is known that probability of A's victory is 0.34. What is the probability of B's victory?

 A

0.66.

 B

0.34.

 C

0.5.

 D

0.25.

Soln.
Ans: a

One of the two is going to win. Probability of A's defeat is 1 - 0.34 = 0.66, which is the probability of B's victory.


Question 4

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 5

What is the probability of getting a multiple of 3 when a dice is tossed in the air?

 A

1/3.

 B

1/2.

 C

1/4.

 D

0.

Soln.
Ans: a

Total outcomes are 6. The number of favorable chances are two: 3, 6. So probability is 2/6 = 1/3.


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Creative Commons License
This Blog Post/Article "Probability Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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