One coin and a die are thrown simultaneously. Find the probability of the following events :Event A : To get a head and a prime number.Event B : To get a tail and an odd number.

Q.3 (B)(iv) One coin and a die are thrown simultaneously. Find the probability of the following events :

Event A : To get a head and a prime number.

Event B : To get a tail and an odd number.

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: \(P(A) = \dfrac{1}{4}\) and \(P(B) = \dfrac{1}{4}\)

\(S = \{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6\}\), so \(n(S) = 2 \times 6 = 12\).

Event A (head and a prime number): \(A = \{H2, H3, H5\}\), \(n(A) = 3\), so \(P(A) = \dfrac{3}{12} = \dfrac{1}{4}\).

Event B (tail and an odd number): \(B = \{T1, T3, T5\}\), \(n(B) = 3\), so \(P(B) = \dfrac{3}{12} = \dfrac{1}{4}\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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