\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Let \(X\) be the number of heads when tossing 3 fair coins: a red coin
, a blue coin
, and a green coin
. List the outcomes for \((X = 2)\).
Choose the one correct answer:
\(\{(\textcolor{colordef}{H},\textcolor{colorprop}{H},\textcolor{olive}{H}), (\textcolor{colordef}{T},\textcolor{colorprop}{T},\textcolor{olive}{T})\}\) (all heads or all tails),
\(\{(\textcolor{colordef}{H},\textcolor{colorprop}{H},\textcolor{olive}{T}), (\textcolor{colordef}{H},\textcolor{colorprop}{T},\textcolor{olive}{H}), (\textcolor{colordef}{T},\textcolor{colorprop}{H},\textcolor{olive}{H})\}\) (exactly two heads),
\(\{(\textcolor{colordef}{T},\textcolor{colorprop}{T},\textcolor{olive}{H}), (\textcolor{colordef}{H},\textcolor{colorprop}{H},\textcolor{olive}{T})\}\) (green coin decides),
\(\{(\textcolor{colordef}{H},\textcolor{colorprop}{H},\textcolor{olive}{H})\}\) (maximum heads).
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