\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Two games are proposed at a fair. In both games, the number of points you win is the number shown on the die you roll.
  • Game A: Roll a fair 6-sided die (\(X_A\)).
  • Game B: Roll a fair 4-sided die (\(X_B\)).
Which game offers a higher average score? Which game is more predictable (less variable)? Justify your answers with calculations.
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.