Probability Quiz Set 017 | Maths Aptitude Quiz Questions and Mock Test on Probability Set 17 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A piggy bank contains 73 nos. of 50-paise coins, 37 nos. of 1-rupee coins and 81 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?

${73/191}$.

$81/191$.

$74/191$.

$78/191$.

Soln.
Ans: a

Out of the total number of coins = 191, the chances favoring 50-paise coin are 73. So the probability is 73/191 = ${73/191}$.

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Question 2

A box contains 70 red balls and an unknown number of blue balls. If the probability of drawing a blue ball is 5 times the probability of drawing a red ball, then how many blue balls are there in the box?

350.

355.

345.

360.

Soln.
Ans: a

Let the number of blue balls be x. Chances of drawing a blue ball are $x/{x + 70}$ = 5 × $70/{x + 70}$, which gives x = 5 × 70 = 350.

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Question 3

What is the probability of getting a sum less than 12 from two throws of a dice?

1/3.

2/3.

1/6.

Soln.
Ans: a

Total outcomes = 36. Favorable are 36 because sum will always be less than 12. So probability = 1.

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Question 4

From a deck of 52 cards two cards are drawn at random. What is the probability that both one is a clubs, and the other a diamonds?

${13/102}$.

$9/14$.

$14/102$.

$18/102$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = ⁵²C₂ = $(52 × 51)/2$ = 1326. There are 13 clubs and 13 diamonds in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.

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