Quantitative Reasoning

Probability

Easy

An unbiased die is tossed. Find the probability of getting a multiple of 3.

1/2

1/3

3/4

1/6

✅ Correct Option: 2

The sample space has 6 outcomes. Multiples of 3 are 3 and 6, so 2 favourable outcomes.

Probability $= \frac{2}{6} = \frac{1}{3}$ .

2026: 25 May Shift 1

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

2025: 19 May Shift 1

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct?

(A) The probability that both balls are red is $\frac{1}{11}$ .

(B) The probability that one ball is red, and one ball is blue is $\frac{10}{33}$ .

(D) The probability that both balls are green is $\frac{5}{11}$ .

Choose the correct answer from the options given below:

2026: 20 May Shift 2

The probability of drawing two aces randomly from a pack of 52 cards is:

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:

2023: 21 May Shift 1

A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?

2023: 5 June Shift 2

A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$ . What is the probability of both A and B occurring at the same time?

An unbiased die is tossed. Find the probability of getting a multiple of 3.

Solution

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