L15_More_Venn

# L15_More_Venn - 1-1This small handout is a worked example...

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Unformatted text preview: 1-1This small handout is a worked example to help clarifythe difference between•Sample spacesand•Probability distributions on the sample spaces1-2This small handout is a worked example to help clarifythe difference between•Sample spacesand•Probability distributions on the sample spacesIn particular, you will see twodifferentprobabilitydistributions on thesamesample space.1-3This small handout is a worked example to help clarifythe difference between•Sample spacesand•Probability distributions on the sample spacesIn particular, you will see twodifferentprobabilitydistributions on thesamesample space.You will also see an example illustrating why theinclusion-exclusion formulais actually a statementabout sets, and does not depend upon the actualweights of the probability distribution.2-1Consider the sample space of 3 coin flips (8 outcomes)E∩F={first & last flips are Heads}={HHT,HTT,HHH,HTH}={THH,TTH,HTH,HHH}E={first flip is Head}F={last flip is Head}={HHH,HTH}2-2Consider the sample space of 3 coin flips (8 outcomes)E∩F={first & last flips are Heads}FEHHTTHHTTHHTTHTHTTTHHHTHT={HHT,HTT,HHH,HTH}={THH,TTH,HTH,HHH}|E|= 4|F|= 4E={first flip is Head}F={last flip is Head}={HHH,HTH}|E∩F|= 22-3...
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## This note was uploaded on 08/25/2010 for the course COMP COMP170 taught by Professor M.j.golin during the Spring '10 term at HKUST.

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L15_More_Venn - 1-1This small handout is a worked example...

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