MACM 101 Lecture Notes - Lecture 5: Fair Coin
13 Aug 2016
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What are the chances that at least 2 of them have the same birthday? a) b) c) Suppose 30 students signed their name on a calendar. They sign their name in the box that corresponds to their birthday. Each student has 365 possibilities (a permutation with replacement) By rule of product, get 36530 different calendars. In general, the permutation of r of n distinguishable objects with replacement can be done in nr possible ways. # of calendars with at least one box with 2 signatures = total # of calendars - # of calendars with all different boxes. If all calendars are equally likely, then the fraction of the total number of calendars is called the probability. For 30 students, p = (36530 - (365!/335! Definition: a probability is a number between 0 and 1 inclusive, that represents the likelihood that an event will occur in the future. 1 = a certainty of success; 0 = a certain failure.
