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Question

The probability that a leap year selected at random contains 53 Sundays is


A

7366

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B

28183

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C

17

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D

27

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Solution

The correct option is D

27


Explanation for the correct option

We know that a leap year has 366days.

We have 52 weeks and 2 days. So, a leap year has 52Sundays.

The remaining 2days can be,

(Sunday, Monday),(Monday, Tuesday),(Tuesday, Wednesday),(Wednesday, Thursday),(Thursday, Friday),(Friday, Saturday),(Saturday, Sunday)

We have 7possibilities, from these possibilities we have two Sundays in it.

So, the required probability is 27

Hence, option(D) is the correct answer i.e. 27


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