Two people are asked their opinions on a political issue. They can answer "Opposed" (O) or "Undecided" (U). Find the sample space S.

Question

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The sample space should include all possible combinations of two people's responses, which are "Opposed" (O) or "Undecided" (U). This results in four combinations: both opposed (OO), the first opposed and the second undecided (OU), the first undecided and the second opposed (UO), and both undecided (UU).

Two People Are Asked Their Opinions on a Political Issue {OO,OU,UO,UUU}\{ \mathrm { OO } , \mathrm { OU } , \mathrm { UO } , \mathrm { UUU } \}{OO,OU,UO,UUU}

Two People Are Asked Their Opinions on a Political Issue $\{ \mathrm { OO } , \mathrm { OU } , \mathrm { UO } , \mathrm { UUU } \}$