10

Set 3: Probability (Advanced)

Explanation

Answer: B

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.

20

✓ Correct
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.

🎉 Set Complete!

You've reviewed all explanations. Ready to try another set?