Derrick only wants to play the game if he can expect to win money over many turns. should derrick play, and for what reason?

  C) Yes, because on average, Derrick can expect to come out ahead by $0.10 per turn.

Step-by-step explanation:

Derrick's expected payoff per turn is the sum of products of the payoff amount and the probability of occurrence.

  expected payoff = $5.00 × 0.32 + $0.00 × 0.68 = $1.60

Derrick must pay $1.50 per turn, so his payoff of $1.60 per turn means he will come out ahead, on average, by $0.10 per turn.