Probability Quiz Set 001

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Question 1

45 defective pens are accidentally mixed with 40 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

${9/17}$.

 B

$47/85$.

 C

$10/85$.

 D

$14/85$.

Soln.
Ans: a

Out of the total number of pens = 85, the chances favoring defective pen are 45. So the probability is 45/85 = ${9/17}$.


Question 2

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 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

What is the probability of getting a sum of 7 from two throws of a dice?

 A

1/6.

 B

1/3.

 C

6/7.

 D

7/6.

Soln.
Ans: a

Total outcomes = 36. Favorable are 6, which are: (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3). Probability = 6/36 = 1/6.


Question 5

A box contains 2 navy, 4 red and 6 sky blue marbles. What is the probability of drawing a marble that is not sky blue if 2 marbles are drawn out randomly?

 A

${5/22}$.

 B

$6/12$.

 C

$6/66$.

 D

$10/66$.

Soln.
Ans: a

Total number of marbles is 12. Combinations of 2 marbles that are possible = 12C2 = ${12 × 11}/2$ = 66. Chances of drawing a non-sky blue ball are 6C2 = $(6 × (6 - 1))/2$ = 15. So probability = 15/66 = ${5/22}$.


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Creative Commons License
This Blog Post/Article "Probability Quiz Set 001" 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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