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Home > CCG > Chapter 7 > Lesson 7.3.1 > Problem 7-121

7-121.

A spinner, is divided in half, horizontally. The top side, is 6. The bottom side is then divided into two quarters. The bottom right side, is A. The bottom left side is subdivided in half to get 2 parts, 0, and negative 8.Examine the spinner at right. Assume that the probability of spinning a is equal to that of spinning a .  

  1. Find the spinner’s expected value if the value of region is .

    Find the expected value of a single spin by finding the product of the probability and the value for each region. Find the sum for all the regions.

  2. Find the spinner’s expected value if the value of region is .

    Use the same equation from part (a), but put a in place of the for the value of .

  3. What does the value of region need to be so that the expected value of the spinner is ?

    Use the same equation from part (a), but put a in place of the for the value of .