Question

Find the probability of 53 Sundays in a leap year.

Hint:

A leap year has 52 complete weeks and 2 extra days. If one of those extra days is Sunday, the year has 53 Sundays.

Answer 1

Step 1: Identify total Sundays in a leap year. A leap year has 366 days, which means 52 complete weeks + 2 extra days. 

Step 2: Determine favorable cases. The extra 2 days can be: \begin{itemize} \item - (Sunday, Monday) \item - (Monday, Tuesday) \item - (Tuesday, Wednesday) \item - (Wednesday, Thursday) \item - (Thursday, Friday) \item - (Friday, Saturday) \item - (Saturday, Sunday) \end{itemize} In 2 out of 7 cases, Sunday is included. 

Step 3: Compute probability. \[ P(\text{53 Sundays}) = \frac{2}{7} \]