1 Suppose that births are equally likely to be on any day a
1. Suppose that births are equally likely to be on any day.
(a) What is the probability that somebody chosen at random has a birthday on the first day of a month?
(b) How does this probability change conditional on the knowledge that the person\'s birthday is in March?
(c) How does this probability change conditional on the knowledge that the person\'s birthday is in February?
Solution
A)the case of being born on the first it\'s a 12 in 365 chance of being born in the 1st, P= 12/ 365
B) IN the case of march it\'s a 31 in 365 chance, i.e P=31/365
C) IN the case of february it\'s a 28 in 365 chance, i.e P=28/365
