leap year

Probability Level 2

What is the probability (to two decimal places) that a non leap year should have 53 sundays?


The answer is 0.14.

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Aman Sharma by Aman Sharma , 25, India

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2 solutions

Rohit Sharma
Oct 4, 2014

Every year has 52 weeks and one day is extra, suppose the first year has a 53rd Monday, therefore 7 years after that it'll be a Sunday. Thus the probability is 1\7 ~ 0.14

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If the year begins on a Sunday that extra would be sunday ie 53rd Sunday. So it is the probability of the year starting on a Sunday or One of the 7 days.

Praviv Vivpra - 6 years, 8 months ago
Siddharth Pandit
Oct 20, 2014

a non leap year has 365 days. the day with which the year starts comes 53 times in that year .An year can start with any one of the 7 days.Therefore the probablity of the year starting with a sunday is 1/7.

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