Question

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

Answer 1

In 1 year Total days are = 364.

In leap year Total days are = 366.

A year has 52 week so 52 Sundays will be there

$\therefore$ 2 days are left.

It can be

1) ( sun,mon) 2)(mon,Tue) 3) (Tue,wed) 4) (wed,thu)

5) (Thu,Fri) 6) (Fri,sat) 7) (sat,sun)

out of these 7 outcomes. Monday fall in 2

outcomes.

$\therefore$ probability of getting 53 Monday in a

leap year in

P(Monday)=$\frac{2}{7}$.