Question

What if the spinner looks like the one at right instead? Explore using the 3-48 Student eTool (CPM). a. If you win the amount that comes up on each spin, how much would you expect to win after 4 spins? What about after 100 spins? b. Calculate this spinner's expected value. That is, what are the expected winnings for each spin? Be ready to justify your answer. c. Gustavo described his thinking for part (b) this way: "Half the time, I'll earn nothing. One-fourth the time, I'll earn $4, and the other one-fourth of the time I'll earn $100. So, for one spin, I can expect to win 1/2(0) + 1/4($4) + 1/4($100)." Calculate Gustavo's expression. Does his result match your result from part (b)?

          What if the spinner looks like the one at right instead? Explore using the 3-48 Student eTool (CPM).

a. If you win the amount that comes up on each spin, how much would you expect to win after 4 spins? What about after 100 spins?

b. Calculate this spinner's expected value. That is, what are the expected winnings for each spin? Be ready to justify your answer.

c. Gustavo described his thinking for part (b) this way: "Half the time, I'll earn nothing. One-fourth the time, I'll earn $4, and the other one-fourth of the time I'll earn $100. So, for one spin, I can expect to win 1/2(0) + 1/4($4) + 1/4($100)." Calculate Gustavo's expression. Does his result match your result from part (b)?

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What if the spinner looks like the one at right instead? Explore using the 3-48 Student eTool (CPM).

a. If you win the amount that comes up on each spin, how much would you expect to win after 4 spins? What about after 100 spins?

b. Calculate this spinner's expected value. That is, what are the expected winnings for each spin? Be ready to justify your answer.

c. Gustavo described his thinking for part (b) this way: "Half the time, I'll earn nothing. One-fourth the time, I'll earn 4, and the other one-fourth of the time I'll earn100. So, for one spin, I can expect to win 1/2(0) + 1/4(4) + 1/4(100)." Calculate Gustavo's expression. Does his result match your result from part (b)?

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Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert Jon Southam

09/03/2021

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