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Q.

What is the probability of having 53 Mondays in a leap year?

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a

17

b

27

c

37

d

47

answer is B.

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Detailed Solution

Given is a leap year with 366 days.
366 days = 52 weeks + 2 days
Thus, a leap year has always 52 Mondays.
The remaining 2 days can be as follows.
Sunday and Monday, Monday and Tuesday, Tuesday and Wednesday, Wednesday and Thursday, Thursday and Friday, Friday and Saturday, Saturday and Sunday.
Clearly, there are seven elementary events associated with this random experiment.
Let A be the event that a leap year has 53 Mondays.
Clearly, the event A will happen if the last two days of the leap year are either Sunday and Monday or Monday and Tuesday.
∴ Favorable number of elementary events = 2.
Hence, the required probability,

P (A) = 27

Therefore, option 2 is correct.

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