(Thinking question) What is the probability that a leap year, selected at random, contains 53 Sundays?

Q.20 (Thinking question) What is the probability that a leap year, selected at random, contains 53 Sundays?

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: \(\dfrac{2}{7}\)

A leap year has 366 days = 52 weeks + 2 days. The 52 weeks give 52 Sundays. The 2 extra days can be:

S = {(Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun)}, n(S) = 7

Event A: one of the extra days is a Sunday. A = {(Sun, Mon), (Sat, Sun)}, n(A) = 2

\(P(A) = \dfrac{2}{7}\)

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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