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Question

What the probability that a leap year selected randomly will have 53 Sundays?

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Solution

A leap year has 366 days or 52 weeks and 2 odd days. The two odd days can be {Sunday,Monday},{Monday,Tuesday},{Tuesday,Wednesday},{Wednesday,Thursday},{Thursday,Friday},{Friday,Saturday},{Saturday,Sunday}. So there are 7possibilities out of which 2 have a Sunday. So the probability of 53 Sundays is 2/7

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