It is 1/6.
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There are 12 months to choose from There are 7 months with 31 days in them. The probability of choosing a 31-day month is 7/12.
There are 4 months that end in the letter Y, January, February, May, and July. The probability, then, of a random month ending in the letter Y is 4 in 12, or 1 in 3, or about 0.3333.
It is 1. Every month contains 28 days.
If a 31-day month starts on a Friday, Saturday or Sunday it will have 5 Sundays; if not it will have 4. So the probability is 3/7.
First we don't consider leap year There is 1 month with 28 days: february There are 4 months with 30 days: april, june, september, november So the probability to select a month with 28 or 30 days is (1+4)/12 = 5/12 If the year is a leap year then the probability is 4/12