Question

Find the probability of getting 53 saturdays in a leap year.

• A. $\frac{2}{7}$
  
• B. $\frac{1}{7}$
  
• C. $\frac{3}{7}$
  
• D. $\frac{2}{5}$
  

Answer 1

The correct option is A $\frac{2}{7}$


In a leap year there are a total 366 days or 52 weeks 2 days.
Let E be the event of getting two saturdays.

$\therefore$ Total saturday will be definitely 52, but the remaining two days has some posibilities:-
(1) Sunday, Monday
(2) Monday, Tuesday
(3) Tuesday, Wednesday
(4) Wednesday, Thursday
(5) Thursday, Friday
(6) Friday, Saturday
(7) Saturday, Sunday

$\therefore$ Two such posibilities that the remaining 2 days contain saturday out of total 7 possibilities.

So, $P\left(E\right)=\frac{2}{7}$

Hence, Correct option is option (a)