What is the probability that a leap year...

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

`(7)/(366)`

`(28)/(183)`

`(1)/(7)`

`(2)/(7)`

Text Solution

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The correct Answer is:

A leap year has 366 days in which 52 and 2 days are extra. i.e. (Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thrusdar), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday). So, probability that a leap year contains 53 Sunday = 2/7.

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

`7/366`

`28/183`

`1/7`

`2/7`

The probability that a leap year, selected at random. will contain 53 Sunday is:

`1//7`

`2//7`

`3//7`

`4//7`

What is the probability that a leap year selected at random will contain 53 Mondays?

`2//5`

`2//7`

`1//7`

`5//7`