Sunday is a holiday!
Probability
Level
3
If a leap year is selected at random, what is the chance that it will have 53 Sundays?
Details and assumptions :
- A leap year has 366 days.
- Put the answer upto 3 decimal places
The answer is 0.286.
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1 solution
Every year has at least 52 Sundays 5 2 ⋅ 7 = 3 6 4 , because there are 52 whole weeks every year. The only possibilities for a leap year to have 53 Sundays is that it starts on Saturday or on Sunday, 2 possibilities between 7, because if the leap year starts on Sunday 1 + 5 2 ⋅ 7 = 3 6 5 , then the leap year will have 53 Sundays and if the leap year starts on Saturday 2 + 5 2 ⋅ 7 = 3 6 6 , then the leap year will have 53 Sundays too. There aren't more possibilities ⇒ The probability or chance is 2/7.