Question

The probability that a leap year will have $53$ sundays is

• A. $1/7$
• B. $2/7$
• C. $5/7$
• D. $6/7$

Answer 1

Answer: (B)

$2/7$

A leap year has $52$ weeks and $2$ days.

The ${53}^{rd}$ Sunday will be from these extra two days.

These $2$ days can be (Sunday,Monday) or (Mon,Tue) or (Tue,Wed).....(Sat,Sun)

There are $7$ possibilities for these $2$ days

Out of which Sunday is coming in $2$ possibilities

$\therefore P\left(\text{2 sundays in leap year}\right)=\frac{2}{7}$