Probability Quiz Set 008

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Question 1

What is the probability of getting a multiple of 3 or 5 when a dice with 20 faces numbered from 1 to 20 is tossed in the air?

 A

9/20.

 B

7/20.

 C

1/4.

 D

3/20.

Soln.
Ans: a

Total outcomes are 20. The number of favorable chances are nine: 3, 6 , 9, 12, 15, 18, 5, 10, 20. So probability is 9/20.


Question 2

What is the probability of getting a sum of 8 from two throws of a dice?

 A

4/9.

 B

1/3.

 C

2/3.

 D

3/8.

Soln.
Ans: a

Total outcomes = 36. Favorable are 8, which are: (1, 7), (7, 1), (2, 6), (6, 2), (3, 5), (5, 3), (4, 4), (4, 4). Probability = 8/36 = 4/9.


Question 3

Which of these cannot be a probability of an event?

 A

-1.5.

 B

2/3.

 C

15%

 D

0.7.

Soln.
Ans: a

The probability of an event is a number from 0 to +1 only. 0 means no probability and +1 means certainty.


Question 4

A class has 7 boys and 4 girls. What is the probability of choosing 1 boy and 2 girls?

 A

${14/55}$.

 B

$8/11$.

 C

$15/55$.

 D

$19/55$.

Soln.
Ans: a

Three students have to be picked. Total number of ways = 11C3 = ${11 × 10 × 9}/{3 × 2 × 1} = $165. Number of ways of picking 1 boy and 2 girls = 7C1 × 4C2 = 42. So probability = $42/165$ = ${14/55}$.


Question 5

From a deck of 52 cards two cards are drawn at random. What is the probability that both will be King?

 A

${1/221}$.

 B

$4/10$.

 C

$2/221$.

 D

$6/221$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = 52C2 = $(52 × 51)/2$ = 1326. There are 4 Kings in all, so 2 can be drawn in 4C2 = $(4 × 3)/2 = 6$ ways. The probability is 6/1326 = ${1/221}$.


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Creative Commons License
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 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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