PSTAT 120A Lecture Notes - Lecture 4: Probability Space, List Of Poker Hand Categories, Sample Space
26 Sep 2017
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Probability 2: the coin is biased with a 2/3 probability of landing heads. Probability space = , where is a sample space, and is the probability on that sample. Theorem: suppose that is a finite probability space so that all outcomes in are equally likely. That is, the probability satisfies for all . Example: suppose and is a probability space of equally likely outcomes. Example: suppose 3 marbles are drawn randomly from an urn containing 6 red marbles and 5 blue marbles. Example: there are n socks in a drawer, 3 of which are red. Suppose that when 2 of the socks are chosen at random, the probability that they are both red is 1/2. Example: in beverly hills, 10% of people are rich, 5% of people are famous, and 3% are rich and famous. If a person is picked at random, what is the chance: Example: there are 103 students in this room.
