What is the probability that a leap year has 52 Mondays?
Question
What is the probability that a leap year has 52 Mondays?
Solution
A leap year has 366 days.
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First, let's divide 366 by 7 (since there are 7 days in a week). The quotient is 52 and the remainder is 2. This means that in a leap year, there are 52 weeks and 2 extra days.
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These 2 extra days can be any of the following combinations: (Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday).
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Out of these 7 possibilities, Monday appears in 2 combinations: (Sunday, Monday) and (Monday, Tuesday).
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Therefore, the probability that a leap year has 52 Mondays is 2 out of 7, or approximately 0.2857 or 28.57% when expressed as a percentage.
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