Statistical Sciences 2035 Lecture Notes - Lecture 4: Free Throw, Mutual Exclusivity
9 Nov 2017
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Document Summary
Sometimes probabilities need to be reevaluated as additional information becomes available. Suppose in example 4. 1, someone has inspected an item and has reported that weight was satisfactory (event b), but did not say anything about the other two categories. One way to calculate a revised probability with additional information is to assume that the outcome that will be generated (event a) is a member of the event that is known to have occurred (event b). P(a|b) = probability of event a occurring, given that event b has already occurred. And if you want the probability of event b occurring, given that event a has already occurred, In the same way p(a)+p(a/ ) = 1, it is also true that. P(a | b) + p(a/ | b) = 1 and. P(b | a) + p(b/ | a) = 1. However, there is no general relationship between p(a | b) and p(a |b/ ) (i) multiplication rule.
