Quantitative Reasoning

Probability

Easy

A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both balls are white.

$\dfrac{1}{2}$

$\dfrac{1}{3}$

$\dfrac{2}{3}$

$\dfrac{1}{4}$

✅ Correct Option: 4

The two draws are independent, so multiply the individual probabilities.

P(white from first bag) $= 4/6 = 2/3$

P(white from second bag) $= 3/8$

Required probability $= (2/3)(3/8) = 6/24 = 1/4$ .

2025: 20 May Shift 2

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

2023: 21 May Shift 1

What is the probability that any non-leap year will have 53 Sundays?

2026: 18 May Shift 1

Two unbiased coins are tossed:

Match the List-I and List-II

List-I	List-II
(A) Probability of getting one head	(I) 3/4
(B) Probability of getting two heads	(II) 1/2
(C) Probability of getting at most one head	(III) 1/4
(D) Probability of getting three heads	(IV) 0

Choose the correct answer from the options given below:

2026: 30 May Shift 1

In a deck of lotteries, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting prize?

2025: 14 May Shift 2

Match List-I with List-II

List-I	List-II
(Statements/Expressions, etc.)	(Value/Expressions, etc.)
(A) P(E)	(I) 1
(B) The probability of an impossible event	(II) P(A). P(B)
(C) For exhaustive events E₁ and E₂, P(E₁ ∪ E₂)=	(III) 1-P(Ē)
(D) For independent events A and B, P(A ∩ B)=	(IV) 0

Choose the correct answer from the options given below:

2026: 6 June Shift 1

Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

Solution