An algebra problem by kunal gupta

Algebra Level 2

What is the probability that there are 53 sun:days in a leap year

4/7 9/5 2/7 53/365

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1 solution

In a leap year, there are 366 days, that is, 52 complete weeks and 2 other days. So, in order for a year to have 53 sundays, we have 2 possibilities:

  • Day #1 is Saturday, days (7n + 2) are Sunday, including day #366;
  • Day #1 is Sunday, days (7n + 1) are Sunday, including day #365.

Therefore, we have 2 possibilities out of 7.

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