10
Answer: ASet 2: Probability (Advanced)
Explanation
PROBLEM
In a game, you win $89 with probability 20% and $28 with probability 30%. What is the expected value?
In a game, you win $89 with probability 20% and $28 with probability 30%. What is the expected value?
A.✓ Correct
26.200000000000003
B.
52.400000000000006
C.
21.200000000000003
D.
31.200000000000003
Detailed Explanation
Choice A is the best answer. E = 89(0.2) + 28(0.3) = 17.8 + 8.4 = $26.200000000000003
Why others are wrong:
B: 52.400000000000006 is incorrect because it does not satisfy the equation.
C: 21.200000000000003 is incorrect because it does not satisfy the equation.
D: 31.200000000000003 is incorrect because it does not satisfy the equation.
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