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What is the probability of 53 Fridays in a leap year?

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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. read more

Every leap year has 366 days. This means that there are 5 weekdays that occur 52 times and 2 weekdays that appear 53 times. Using a simple model, all weekdays are the same so by symmetry every weekday has a 2/7 chance of occurring 53 times. read more

There are 366 days in a leap year that is 2 more than 52 full weeks. 52*7 + 2 = 366. Therefore now for the last 2 days, there could be 7 possibilities all equally likely. read more

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