Question

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

• A. $\frac{4}{7}$
• B. $\frac{3}{7}$
• C. $\frac{1}{7}$
• D. $\frac{2}{7}$

Answer 1

The correct option is C $\frac{1}{7}$

A leap year has 366 days, i.e 52 weeks + 2 days.

The 2 days can be (Sun, Mon) (Mon, Tue) (Tue, Wed) (Wed, Thur) (Thur, Fri) (Fri, Sat) (Sat, Sun).

No. of favourable outcome = (Sun, Mon) = 1

Total number of possible outcomes = 7

Probability of 53 Sundays and 53 Mondays, is $\frac{1}{7}$.