6
AssignmentMultiple Choice

Expected Value

Question 6 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win 1 point. If no heads come up, you lose 3 points.What is the expected value of the number of points for each turn?

Answer
A
–0.25
B
0
C
0.25
D
0.5

Explanation

With two fair coins, the outcomes are HH, HT, TH, and TT, each equally likely. The point values are 2 for HH, 1 for HT and TH, and −3 for TT, so the expected value is (2 + 1 + 1 − 3) ÷ 4 = 0.25 points per turn. Therefore, the correct choice is C, 0.25.

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