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04Solve any one of the following sub-questions.Find the probability of getting 53 sundays in a leap year. Also find the probability ofgetting 53 sundays in a year which is not a leap year.

Answer»

The probability of a year being a leap year is1/4and being non-leap is3/4

A leap year has 366 days or 52 weeks and 2 odd days. The two odd days can be {Sunday,Monday},{Monday,Tuesday},{Tuesday,Wednesday},{Wednesday,Thursday},{Thursday,Friday},{Friday,Saturday},{Saturday,Sunday}.

So there are 7 possibiliyies out of which 2 have a Sunday. Sothe probability of 53 Sundays in a leap year is2/7.

A non-leap year has 365 days or 52 weeks and 1 odd day. The odd day can be Sunday,Monday, Tuesday,Wednesday,Thursday,Friday or Saturday.

So there are 7 possibilities out of which 1 is favorable. Sothe probabilityof53 Sundays in non-leap year is1/7.



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