What is the probability that an ordinary year has 53 Mondays?

Question:

What is the probability that an ordinary year has 53 Mondays?

Solution:

An ordinary year has 365 days consisting of 52 weeks and 1 day.

This day can be any day of the week.

$\therefore \mathrm{P}$ (of this day to be Monday) $=\frac{1}{7}$

Thus, the probability that an ordinary year has 53 Mondays is $\frac{1}{7}$.

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