3. (2 points] Suppose that you are offered the following "deal.\" You roll a die. If you roll a six, you win $10. If you roll a four or ve, you win $5. If you roll a one, two, or three, you pay $6. The table below represent the probability distribution for this deal. i 1 2 3 Total x, $5 $6 $10 P(X = x,) 0.33 0.50 0.17 1.00 a. Over the long run of playing this game, what are your expected average winnings per game? b. Based on numerical values. should you take the deal? Explain your decision in complete sentences