All possible outcomes for a random experiment. For example. If youflip a coin on

Question

All possible outcomes for a random experiment. For example. If youflip a coin once the sample space is the set {H,T}. Suppose youhave two coins the sample space when both coins are flipped is {HH,HT, TH, TT}. An event is a subset of the sample space.

1.) Suppose you have two dice each with faces 1 through 6. List thesample space (the set of all possible outcomes for a single toss ofboth dice):

2.) Returning to the dice question 1. List the outcomes in thesample space that correspond to the unordered event: 'the sum ofboth faces when the dice are tossed once is equal to 6':

Explanation / Answer

1) Sample space = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3)(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} 2) Sample space = {(1,5),(5,1),(2,4),(4,2),(3,3)} Hope this helps!

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