Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that b
ID: 3022284 • Letter: I
Question
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall 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 will be a sequence of n birthdays (one for each person). a. Define the probability function P for b. Carefully describe the subset of that corresponds to each of the following events: i. “ someone in the group shares your birthday” ii. “some two people in the group share a birthday” iii. “some three people in the group share a birthday”
Explanation / Answer
Probability function will be 365Pn/365^n
1) it will be simply 1/365
2) For two people it will be 365P2/365^2
3) it will be 365P3/365^3