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Louisiana is busy designing new lottery scratch-off games. In the latest game, Bayou Boondoggle, the player is instructed to scratch off one spot: A,
Louisiana is busy designing new lottery scratch-off games. In the latest game, Bayou Boondoggle, the player is instructed to scratch off one spot: A, B, or C. A can reveal "Loser," "Win $2," or "Win $25." B can reveal "Loser" or "Take a Second Chance." C can reveal "Loser" or "Win $350." On the second chance, the player is instructed to scratch off D or E. D can reveal "Loser" or "Win $2." E can reveal "Loser" or "Win $20." The probabilities at A are 0.70, 0.19, and 0.11. The probabilities at B are 0.75 and 0.25. The probabilities at C are 0.995 and 0.005. The probabilities at D are 0.6 and 0.4. Finally, the probabilities at E are 0.94 and 0.06. Draw the decision tree that represents this scenario. Use proper symbols and label all branches clearly. Calculate the expected value of this game. Choose the correct decision tree below. A OC. Loser 10 995) Min 52 10 pon Min 5350 0.005) Loser 10.751 a 350 Q Loser 10.6) 0 Win $2 2 Second Chance (0.25) Loser (0.94) 10.08)20 Win $20 Loser 10.70) B Win $2 10.191 Minis25 2 2 25 ONN Loser o Win $2 Losen D Second Chance Win $20 20 Loser 0 Win $350 350 O B. OD. 1 B B Q Loser (0.70) Win $2 (0.19) Win $25 (0.11) 25 022 G Loser (0.75) 0 Loser (0.8) 0 Win $2 (0.4) 2 Loser (0.94) 2 Win $20 Second Chance (0.25) (0.06) 20 D Loser (0.995) 0 Win $350 (0.005) 350 Loser (0 701 Min $2 10 191 Min $25 10.111 Loser 10 75) Loser 10.8) NNO 25 D 0 Win $2 0.4) 2 Loser (0.94)0 2 Second Win $20 Chance (0.25) (0.08) 20 E Loser (0.995) 0 Win $350 (0.005) 350 Next 4:25 PM
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