# What is the chance that a leap year, selected at random, will contain 53 Sundays? - Mathematics and Statistics

Sum

What is the chance that a leap year, selected at random, will contain 53 Sundays?

#### Solution

A leap year has 366 days

366 = 52 × 7 + 2

∴ there are 52 weeks and 2 other days.

These 2 days can be Sunday-Monday; Monday-Tuesday; Tuesday-Wednesday; Wednesday-Thursday; Thursday-Friday; Friday-Saturday; Saturday-Sunday.

∴ there are 7 possibilities and favorable cases are 2

∴ the required probability = 2/7

Concept: Basic Terminologies
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