Probability Quiz Set 008 | Maths Aptitude Quiz Questions and Mock Test on Probability Set 8 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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?

9/20.

7/20.

1/4.

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.

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Question 2

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

4/9.

1/3.

2/3.

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.

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Question 3

Which of these cannot be a probability of an event?

-1.5.

2/3.

15%

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.

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Question 4

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

${14/55}$.

$8/11$.

$15/55$.

$19/55$.

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 = $42/165$ = ${14/55}$.

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Question 5

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

${1/221}$.

$4/10$.

$2/221$.

$6/221$.

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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