Question

3. Determine the probability that a randomly selected person has a birthday on the 29th day of a month.

Answer 1

0.0308.

Explanation:

There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.

Required probability = number of '29th' days in 4 years / total days in 4 years

= (3*11 + 12) / (3*365 + 366)

= 45/1461

= 0.0308.