Probability Quiz Set 011

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Question 1

75 defective pens are accidentally mixed with 36 good ones. It is not possible to just look at a pen and tell whether it is defective or not. One pen is taken out at random. What is the probability that it is a defective pen?

 A

${25/37}$.

 B

$77/111$.

 C

$26/111$.

 D

$30/111$.

Soln.
Ans: a

Out of the total number of pens = 111, the chances favoring defective pen are 75. So the probability is 75/111 = ${25/37}$.


Question 2

11 bowls are lying inverted on a table. 6 of them contain coins, but 5 of them are empty. What is the probability of getting a coin if one of the bowls is opened randomly?

 A

${6/11}$.

 B

$7/11$.

 C

$8/11$.

 D

$11/11$.

Soln.
Ans: a

Chances favoring a coin are 6, whereas the total chances are 11. The probability is 6/11 = ${6/11}$.


Question 3

Two players, A and B, play a game. It is known that probability of A's victory is 0.39. What is the probability of B's victory?

 A

0.61.

 B

0.39.

 C

0.5.

 D

0.25.

Soln.
Ans: a

One of the two is going to win. Probability of A's defeat is 1 - 0.39 = 0.61, which is the probability of B's victory.


Question 4

Two friends were born on non-leap years. What is the chance that their birthdays do not fall on the same day and month of the year?

 A

${364/365}$.

 B

$21/365$.

 C

$365/365$.

 D

$369/365$.

Soln.
Ans: a

The birthday of second friend has 365 outcomes. If it is not to match the birthday of the first friend, the number of favorable outcomes is 365 - 1 = 364. So probability is 364/365.


Question 5

A box contains 3 maroon, 6 green and 2 khaki marbles. What is the probability of drawing a khaki marble if 2 marbles are drawn out randomly?

 A

${19/55}$.

 B

$2/11$.

 C

$20/55$.

 D

$24/55$.

Soln.
Ans: a

Total number of marbles is 11. Combinations of 2 marbles that are possible = 11C2 = ${11 × 10}/2$ = 55. If one of the two balls is khaki, then both balls will be khaki in 2C2 = ${2 × (2 - 1)}/2$ = 1 ways. The number of ways in which non-khaki can be drawn out are 2 × (3 + 6). So total favorable outcomes = 1 + 2 × 9 = 19, and the probability is 19/55 = ${19/55}$.


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This Blog Post/Article "Probability Quiz Set 011" 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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