10
Answer: BSet 3: Probability (Advanced)
Explanation
PROBLEM
In a game, you win $67 with probability 20% and $22 with probability 30%. What is the expected value?
In a game, you win $67 with probability 20% and $22 with probability 30%. What is the expected value?
A.
40
B.✓ Correct
20
C.
15
D.
25
Detailed Explanation
Choice B is the best answer. E = 67(0.2) + 22(0.3) = 13.4 + 6.6 = $20
Why others are wrong:
A: 40 is incorrect because it does not satisfy the equation.
C: 15 is incorrect because it does not satisfy the equation.
D: 25 is incorrect because it does not satisfy the equation.
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