MHT CET 2025 Mathematics question

The probability that a non leap years selected at random will contain 52 Saturdays or 53 Sundays is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

A non-leap year has days, i.e. 52 full weeks plus one extra day, and this extra day is equally likely to be any of the 7 weekdays. Let = "exactly 52 Saturdays": this happens when the extra day is not Saturday, so . Let = "53 Sundays": this happens when the extra day is

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Question ID VK-103031