Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that b
ID: 1719645 • Letter: I
Question
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fail on any day of the year. Consider a group of n people, of which you are not a member. An element of the sample space omega will be a sequence of n birthdays ( one for each person). Define the probability function P for omega Carefully describe the subset of omega that corresponds to each of the following events: "someone in the group shares your birthday" "some two people in the group share a birth day" "some three people in the group share a birthday"Explanation / Answer
Sample space will be n days (birth days) of n persons
n(sample space) <=n
i) Sombody sharing my birth day will be the sample space consisting of my birth day once
ii) Two people same birthday as mine, will be sample space consist of 2 times my birth day
iii) Three people same birthday as mine, will be sample space consist of 3 times my birth day