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Question

# If leap year is selected at random, the probability that it will contain 53 Sundays is equal to:

A
27
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B
37
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C
17
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D
None
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Solution

## The correct option is A 27In a leap year, we have 366 days of which, there are 52 full weeks and two days more. These two days will be two consecutive days of a week. A leap year will have 53 Sundays if out these two consecutive days of a weak, one is a Sunday. ∴ S ={(Sunday, Monday), (Monday, Tuesday), (Thuesday, wednesday) (Wedneday, Thursday), (Thursday, Friday), (Friday, Saturday), (saturday, Sunday)}. Total ways = O (S)= 7, Favourable ways = 2.

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