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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 27
1year=365 days
A leap year has 366 days
A year has 52 weeks. Hence there will be 52 Tuesdays for sure.
52weeks=52×7=364days
366364=2 days
In a leap year there will be 52 Tuesdays and 2 days will be left.
These 2 days can be:
Sunday, Monday
Monday, Tuesday
Tuesday, Wednesday
Wednesday, Thursday
Thursday, Friday
Friday, Saturday
Saturday, Sunday
Of 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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