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AssignmentMultiple Choice

Expected Value

Question 4 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

What do you think would happen to the average if you kept rolling the number cube over and over?

Answer
A
The average would keep increasing.
B
The average would keep decreasing.
C
The average would approach a set value.
D
The average would not follow any pattern.

Explanation

A number cube has outcomes from 1 to 6, so its long-run average is the expected value: (1 + 2 + 3 + 4 + 5 + 6) ÷ 6 = 3.5. Individual rolls can make the average go up or down, but as you roll more and more, it tends to approach 3.5. So the average would approach a set value.

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