Question #801

What is the probability of being born on:
a)the 10th of a month in a non-leap year.
b)Christmas day in non-leap year.
c)the 29th February.

Expert's answer

There are 365 days in the non-leap year.

a) There are 12 month and 10th in each of them.

Thus the probability to being born on the 10th of a month in a non-leap year would be

P = 12/365;

b) on Christmas day (1 day):

P = 1/365;

c) there is no 29th February in 3 non-leap years and 1 day in the leap year.

The total number of days: 3*365 + 366 = 1461;

The probability is

P = 1/1461.

a) There are 12 month and 10th in each of them.

Thus the probability to being born on the 10th of a month in a non-leap year would be

P = 12/365;

b) on Christmas day (1 day):

P = 1/365;

c) there is no 29th February in 3 non-leap years and 1 day in the leap year.

The total number of days: 3*365 + 366 = 1461;

The probability is

P = 1/1461.

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