Quantitative Reasoning

Probability

Easy

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:

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

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

(A) - (IV), (B) - (I), (C) - (III), (D) - (II)

(A) - (II), (B) - (III), (C) - (I), (D) - (IV)

✅ Correct Option: 4

The sample space is HH, HT, TH, TT.

Exactly one head: HT and TH, so $2/4 = 1/2$ , giving (A)-(II).

Two heads: only HH, so $1/4$ , giving (B)-(III).

At most one head: all outcomes except HH, so $3/4$ , giving (C)-(I).

Three heads is impossible with two coins, so probability $0$ , giving (D)-(IV).

2025: 23 May Shift 1

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2026: 30 May Shift 2

An unbiased die is rolled. Find the probability of getting a multiple of 2.

2023: 7 June Shift 1

Three coins are tossed once. Probability of getting no head is :

2023: 24 May Shift 3

A pair of dice is thrown. What is the probability of getting the sum of numbers on the two faces an odd-prime number?

2025: 27 May Shift 2

Two dice are thrown simultaneously. What is the probability that 4 will come up on at least one die?

2025: 28 May Shift 2

Arnav rolls two dice simultaneously. What is the probability of Arnav getting two numbers whose sum is a prime number?

Solution