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Graceandherfriendsareplayingagamethatusestwodice.Eachdieisatetrahedron-afoursidedshapewitheachsideanequilateraltriangle.Eachsideofthediecontainsoneofthedigits1,2,3,or4. a.Createthesamplespaceofallpossibleoutcomesifyouweretorollthetwodicesimultaneously.Listthedigitonthefirstdiefirstandthedigitontheseconddiesecond(i.e.1,1;1,2;andsoon.)(10points) b.Whatisthetheoreticalprobabilitythatthesumofthetwonumbersonarollwillbefive?(2points) c.IfGraceandherfriendsweretorollthetwodice100times,howmanyofthe100timescouldtheyexpecttorollthesamenumberoneachdie?(Inotherwords,theoutcomewouldbe1,1or2,2or3,3or4,4.)(4points)

Graceandherfriendsareplayingagamethatusestwodice.Eachdieisatetrahedron-afoursidedshapewitheachsideanequilateraltriangle.Eachsideofthediecontainsoneofthedigits1,2,3,or4.

a.Createthesamplespaceofallpossibleoutcomesifyouweretorollthetwodicesimultaneously.Listthedigitonthefirstdiefirstandthedigitontheseconddiesecond(i.e.1,1;1,2;andsoon.)(10points)

b.Whatisthetheoreticalprobabilitythatthesumofthetwonumbersonarollwillbefive?(2points)

c.IfGraceandherfriendsweretorollthetwodice100times,howmanyofthe100timescouldtheyexpecttorollthesamenumberoneachdie?(Inotherwords,theoutcomewouldbe1,1or2,2or3,3or4,4.)(4points)

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