PSTAT 120A Lecture Notes - Lecture 5: Birthday Problem, Disjoint Union
26 Sep 2017
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Example: suppose an urn has 8 red and 4 white marbles. Example: prof. w. is 80% certain that her missing wine opener is in her cabinet; 40% sure it"s in the left cabinet, 40% sure it"s in the right cabinet. Then the conditional probability of given b is: Suppose instead that each red marble weighs r units and each white marble weighs w units. The probability of selecting a marble is its weight divided by the weight of all marbles. Example: suppose an urn has 4 red and 5 blue marbles. When you draw a marble randomly from the urn, you replace the marble along with two marbles of the other color. Partition argument: suppose that is an event and is a partition of . and for all . Note: if e is any event, then is a partition of . If is a partition of and is any event, then:
