\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(X\) represent the sum of the numbers obtained when rolling two fair six-sided dice: a red die and a blue die . Determine the value of \(X\) for each of the following outcomes:
  • \(X(\textcolor{colordef}{1},\textcolor{colorprop}{1}) = \)
    ,
  • \(X(\textcolor{colordef}{2},\textcolor{colorprop}{3}) = \)
    ,
  • \(X(\textcolor{colordef}{3},\textcolor{colorprop}{2}) = \)
    ,
  • \(X(\textcolor{colordef}{4},\textcolor{colorprop}{5}) = \)
    ,
  • \(X(\textcolor{colordef}{5},\textcolor{colorprop}{4}) = \)
    ,
  • \(X(\textcolor{colordef}{6},\textcolor{colorprop}{6}) = \)
    .