What is the probability that a leap year has 53 Tuesdays and 53 Mondays?

Given:

A leap year has 53 Tuesdays and 53 Mondays.

To do:

We have to find the probability that a leap year has 53 Tuesdays and 53 Mondays.

Solution:

There are 366 days in a leap year which has 52 weeks and 2 days.

This implies the 2 extra days can be any days from Monday and Tuesday to Sunday and Monday.

If the year has 53 Mondays and 53 Tuesdays then it implies that the 2 extra days are Monday and Tuesday.

The total number of possible outcomes $n=7$

Total number of favourable outcomes $=1$

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

The probability that a leap year has 53 Tuesdays and 53 Mondays $=\frac{1}{7}$

The probability that a leap year has 53 Tuesdays and 53 Mondays is $\frac{1}{7}$. 

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Updated on: 10-Oct-2022

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