Common Core: S-MD.2
Problem 16 of 25sta-016
A spinner lands on 12 points with probability , on 3 points with probability , and on 6 points with probability . What is the expected number of points on one spin?
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Solution walkthrough1:37
- Expected value is the long-run average per spin. Bigger slices come up more often, so they count more.
- Multiply each value by its probability: , and .
- The products are , and . Add them: points.
- Check with six equal slices: add to , and .
- Traps: is the plain average of , , ; is only ; divides by again.