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Question

# If a leap year is selected at random what is the probability that it will contain 53 Tuesdays?

A
17
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B
27
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C
37
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D
47
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Solution

## The correct option is C 271year=365 daysA leap year has 366 daysA year has 52 weeks. Hence there will be 52 Tuesdays for sure.52weeks=52×7=364days366–364=2 daysIn a leap year there will be 52 Tuesdays and 2 days will be left.These 2 days can be:Sunday, MondayMonday, TuesdayTuesday, WednesdayWednesday, ThursdayThursday, FridayFriday, SaturdaySaturday, SundayOf these total 7 outcomes, the favorable outcomes are 2.Hence the probability of getting 53 Tuesdays in a leap year P(E)=27

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