# Here the sample space consists of five elem events

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Unformatted text preview:  ­ ­> P(e) = 1/|S| for each elem event e  ­ ­> P(E) = |E|/|S| for each event E  ­  ­  ­  ­  ­  ­ Conditional probability: we have some partial information about an outcome (we know event E happened) and want to compute the prob that another event E' also happened.  ­ Definition: P(E'|E) = P(E' int E) / P(E)  ­ Example of a fair coin F and a biased coin B (B always comes up heads)  ­ Experiment: one coin (F or B) is picked at random (each is equally likely) and tossed twice. Here the sample space consists of five elem events: BHH, FHH, FHT, FTH, FTT, of probs 1/2, 1/8,...,1/8 resp. We see the two tosses are both head: event HH occurs. What is the probability that coin B was picked? That is, what is P(B|HH)? We are given P(HH|B) = 1, and P(B)...
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## This note was uploaded on 01/13/2012 for the course CMSC 250 taught by Professor Staff during the Summer '08 term at Maryland.

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