Question

What is the probability that a leap year selected at random contains 53 Mondays ?

• A. $1/7$
• B. $2/7$
• C. $7/366$
• D. $26/183$

Answer 1

The correct option is B $2/7$

In a leap year there will be $52$ weeks and $2$ days.

So, there will be $52$ Mondays fix.

Now that pair of $2$ days can be

Monday and Tuesday

Tuesday and Wednesday

Wednesday and Thursday

Thursday and Friday

Friday and Saturday

Saturday and Sunday

Sunday and Monday

There are $7$ possibilities, out of which $2$ has Mondays.

So, the probability that a leap year has $53$ Mondays $=\frac{2}{7}$

Hence, option B is correct.