Probability Quiz Set 020

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Question 1

A box contains 4 maroon, 7 sky blue and 3 dark green balls. What is the probability of drawing a ball that is neither sky blue nor maroon?

 A

${3/14}$.

 B

$4/14$.

 C

$4/91$.

 D

$8/91$.

Soln.
Ans: a

Total number of marbles is 14. We have to basically find the probability of picking a dark green ball, for which 3 chances are favorable. So probability = 3/14 = ${3/14}$.


Question 2

A box contains 8 maroon, 5 navy and 3 pink marbles. What is the probability of drawing a marble that is not pink if 2 marbles are drawn out randomly?

 A

${13/20}$.

 B

$3/16$.

 C

$14/120$.

 D

$18/120$.

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-pink ball are 13C2 = $(13 × (13 - 1))/2$ = 78. So probability = 78/120 = ${13/20}$.


Question 3

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

 A

${13/102}$.

 B

$7/9$.

 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 hearts and 13 clubs in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.


Question 4

A box contains 7 navy, 2 khaki and 3 orange balls. What is the probability of drawing a ball that is neither khaki nor navy?

 A

${1/4}$.

 B

$4/12$.

 C

$2/66$.

 D

$6/66$.

Soln.
Ans: a

Total number of marbles is 12. We have to basically find the probability of picking a orange ball, for which 3 chances are favorable. So probability = 3/12 = ${1/4}$.


Question 5

Two players, A and B, play a game. It is known that probability of A's victory is 0.48. What is the probability of B's victory?

 A

0.52.

 B

0.48.

 C

0.5.

 D

0.25.

Soln.
Ans: a

One of the two is going to win. Probability of A's defeat is 1 - 0.48 = 0.52, which is the probability of B's victory.


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This Blog Post/Article "Probability Quiz Set 020" 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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