Question

The probability that a leap year will have only $52$Sundays, is

• A. $\frac{4}{7}$
• B. $\frac{5}{7}$
• C. $\frac{6}{7}$
• D. $\frac{1}{7}$

Answer 1

The correct option is B

$\frac{5}{7}$

The explanation for the correct answer.

A leap year has $366$days i.e. $52$weeks and $2$extra days.

The combination of those two days can be,

{(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)}

Here, out of $7$combinations, only$2$ pairs have Sunday.

The other $5$pairs do not have Sundays.

So, the probability of the leap year having only $52$Sundays is $\frac{5}{7}$

Hence, option (B) is correct.