P(53 Sundays) = P(Leap Years)P(53 Sundays in a Leap Year) + P(Non-Leap Years)P(53 Sundays in a Non-Leap Year) → (1)
P(53 Sundays in a Leap Year) → (52 Weeks + 2 days → Saturday + Sunday or Sunday + Monday)
P(53 Sundays in a non-Leap Year) → (52 Weeks + 1 day)
Next step in solving this problem requires the total number of leap years in 22nd Century.
Leap Years = 24
Non Leap Years = 76
We now have all the required information, using equation (1) we get →
Rate this question :