find probability of getting 52 fridays in a leap year
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Answered by
12
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A leap year has 52 complete weeks plus 2 days.Hence if the leap year begins on a Sunday, it will have 53 Sundays and Mondays and 52 other days of the week.Thus a leap year will have 53 Fridays if the year begins on a Thursday or Friday. The probability that a leap year begins on any day of the year is the same = 1/7.
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A leap year has 52 complete weeks plus 2 days.Hence if the leap year begins on a Sunday, it will have 53 Sundays and Mondays and 52 other days of the week.Thus a leap year will have 53 Fridays if the year begins on a Thursday or Friday. The probability that a leap year begins on any day of the year is the same = 1/7.
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Answered by
15
no of days in a leap year = 366
since 364 is divisible by 7
364/7 = 52 , so there are exactly 52 weeks in 364 days
now 366 - 364 = 2
so there are 2 extra days
2 days can be :-
mon,tues
tues,wed
wed,thu
thu,fri
fri,sat
sat,sun
sun,mon
hence sample space = 7
now probability of fridays in 2 extra days = (thu,fri) and (fri,sat)
= 2/7
now probability of 52 exact fridays = 1-2/7
= 5/7
hope it helps you!!
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