\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Two fair six-sided dice (one red and one blue) are rolled, and the product of the numbers on their top faces is recorded, as shown in this example:
\(\textcolor{colordef}{2} \times \textcolor{colorprop}{3} = 6\)
Define the random variable \(S\) to model this situation.
Choose the one correct answer:
The random variable \(S\) represents the difference between the numbers on the two dice: \(S(\textcolor{colordef}{i}, \textcolor{colorprop}{j}) = |\textcolor{colordef}{i} - \textcolor{colorprop}{j}|\),
The random variable \(S\) represents the sum of the numbers on the two dice: \(S(\textcolor{colordef}{i}, \textcolor{colorprop}{j}) = \textcolor{colordef}{i} + \textcolor{colorprop}{j}\),
The random variable \(S\) represents the product of the numbers on the two dice: \(S(\textcolor{colordef}{i}, \textcolor{colorprop}{j}) = \textcolor{colordef}{i} \times \textcolor{colorprop}{j}\).
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