Probability Quiz Set 008

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Question 1

Karmjeet and Sham are friends. What is the probability that both will have different birthdays, ignoring a leap 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 2

One card is drawn at random from a pack of 52 cards. What is the probability that it is NEITHER a Jack, nor a Queen or a King?

 A

10/13.

 B

5/26.

 C

1/13.

 D

3/13.

Soln.
Ans: a

There are 12 such face cards in the entire deck of 52 cards, so the required probability of getting one of them is 12/52 = 3/13. The probability of NOT getting is 1 - 3/13 = 10/13.


Question 3

A bag contains 2 Red, 4 Blue and 8 Green marbles. What is the probability of drawing a Red marble if 2 marbles are drawn out randomly?

 A

${25/91}$.

 B

$8/14$.

 C

$26/91$.

 D

$30/91$.

Soln.
Ans: a

Total number of marbles is 14. Combinations of 2 marbles that are possible = 14C2 = ${14 × 13}/2$ = 91. If one of the two balls is red, then red + red is one possibility, and 2 × (4 + 8) are the other possibilities. So total favorable outcomes = 1 + 2 × 12 = 25, and the probability is 25/91 = ${25/91}$.


Question 4

If P(E) = 0.54, then what is the probability of non-occurrence of E?

 A

0.46.

 B

0.54.

 C

0.5.

 D

0.25.

Soln.
Ans: a

P(E) + P(non-occurrence of E) is always = 1. So P(non-occurrence of E) = 1 - P(E) = 0.46.


Question 5

A piggy bank contains 31 nos. of 50-paise coins, 66 nos. of 1-rupee coins and 71 nos. of 2-rupee coins. The piggy bank is turned upside down, and one coin falls down. What is the probability that it is a 50-paise coin?

 A

${31/168}$.

 B

$71/168$.

 C

$32/168$.

 D

$36/168$.

Soln.
Ans: a

Out of the total number of coins = 168, the chances favoring 50-paise coin are 31. So the probability is 31/168 = ${31/168}$.


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This Blog Post/Article "Probability Quiz Set 008" 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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