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Question

What is the probability that an ordinary year has 53 Mondays?

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Solution

In a year there are 365 days that is, 52 weeks and 1 day
Hence, there will be 52 Mondays for sure.
52 weeks = 364 days
365 – 364 = 1 day
So, in an ordinary year (that is not a Leap year),
there will be 52 Mondays and 1 day will be left.
This that one day could be a
Monday or a Tuesday or a Wednesday or a Thursday or a Friday or a Saturday or a Sunday.
Of these total 7 outcomes, the favourable outcome is 1 (which is MONDAY).
Hence, the probability of getting 53 Mondays = 1 over 7

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