Consider the following scenario when answering the following questions: Suppose

Question

Consider the following scenario when answering the following questions:
Suppose that in an experimental setting, 100 students are asked to choose between Gamble A and Gamble B, where:
        Gamble A: The student will receive $50 with a 70 percent probability and $100 with a 30 percent probability.
        Gamble B: The student will receive $50 with a 50 percent probability, $200 with a 25 percent probability, and $0 (nothing) with a 25 percent probability.

What is the expected value of Gamble A?

Explanation / Answer

Expected value of a game = 1/2 (EV of Gamble A)+ 1/2 (EV of Gamble B)

EV of Gamble A = 50×0.7+100*0.3 = 65

EV of Gamble B= 0.5* 50 + 0.25* 200 + 0.25*0 = 75

EV of Game = 1/2(65+75) = 70

Hence answer should be 65

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