Answer the question in the screenshot below. Please show your work. Thank you!

1. If a player rolls twodicc and getsa sum of? or 12, he wins $20. Ifthe person of7,hewinsS5 The cost to play the game is $3. a. Constructa probability model for this game in which X is the winning dollar amount in one game (payoff) and P(X) is the probability ofcach oqthese winning amounts. b. What are the expected Winnings I n a game? c. Is it "fair" that this game costs $3 to play? Explain.