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Unformatted text preview: 11This small handout is a worked example to help clarifythe difference between•Sample spacesand•Probability distributions on the sample spaces12This 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.13This 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 theinclusionexclusion formulais actually a statementabout sets, and does not depend upon the actualweights of the probability distribution.21Consider 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}22Consider 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= 4F= 4E={first flip is Head}F={last flip is Head}={HHH,HTH}E∩F= 223...
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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.
 Spring '10
 M.J.Golin
 Computer Science

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