In a game, you win 95 dollars with probability 20% and 11 dollars with probability 30%. What is the expected value?

**Choice D is the best answer.** E = 95(0.2) + 11(0.3) = 19 + 3.3 = 22.3 dollars

**Choice D is the best answer.** E = 95(0.2) + 11(0.3) = 19 + 3.3 = 22.3 dollars

Set 1: Probability (Advanced)

Explanation

Answer: D

PROBLEM

In a game, you win $95 with probability 20% and $11 with probability 30%. What is the expected value?

44.6

17.3

27.3

22.3

✓ Correct

Choice D is the best answer. E = 95(0.2) + 11(0.3) = 19 + 3.3 = $22.3

Why others are wrong:

A: 44.6 is incorrect because it does not satisfy the equation.

B: 17.3 is incorrect because it does not satisfy the equation.

C: 27.3 is incorrect because it does not satisfy the equation.

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