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What is the Probability that a Leap Year Has 53 Sundays and 53 Mondays? - Mathematics

What is the probability that a leap year has 53 Sundays and 53 Mondays?

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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) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`=1/7

 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.1 | Q 52 | Page 24
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