Mathematics, 25.03.2020 02:08 Ariannamorales5355

California is designing a new lottery scratch-off game to help support tutoring services at its public universities. In the latest game, the player is instructed to scratch off one spot: A, B, or C. A can reveal "Loser," "Win $1," or "Win $50." B can reveal "Loser" or "Take a Second Chance." C can reveal "Loser" or "Win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "Loser" or "Win $1." E can reveal "Loser" or "Win $10." The probabilities at A are 0.9, 0.09, and 0.01. The probabilities at B are 0.8 and 0.2. The probabilities at C are 0.999 and 0.001. The probabilities at D are 0.5 and 0.5. Finally, the probabilities at E are 0.95 and 0.05. Draw the decision tree that represents this scenario. What is the expected value of this game?

a. $0.5
b. $0.001
c. $0.059
d. $0.1
e. $0.59
f. $0.05
g. $0.01
h. $0.059

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