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Question
What is the probability that a leap year has 53 Sundays and 53 Mondays?
Solution
A leap year has 366 days
366 days = 52 weeks + 2 days
That 2 days may be (Sun, Mon) (Mon, Tue) (Tue, Wed) (Wed, Thu) (Thu, Fri) (Fri, Sat)
(Sat, Sun)
Let E ⟶ event of getting 53 Sundays & 53 Mondays.
No. of favourable outcomes = 1 {(Sun, Mon)}
Since 52 weeks has 52 Sundays & 52 Mondays & the extra 2 days must be Sunday &
Monday.
Total no. of possible outcomes = 7
P(E) =
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