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iogann1982 [59]
1 year ago
15

Some students developed math games for a school carnival. One of the games uses the spinner shown below. The outcomes for the sp

inner are for a player to win either 1 coupon, 5 coupons, or 10 coupons. It costs a player 3 coupons to turn the spinner once. What is the expected payoff, in coupons, for the game? A. 1/8 coupon B. 5/8 coupon C. 3 1/8 coupons D. 3 5/8 coupons

Mathematics
1 answer:
pochemuha1 year ago
7 0

The expected value is fiven as:

EV=\sum ^{}_{}x_iP(x_i)

where xi is the possible outcome and P(xi) is its probability.

From the spinner we notice that:

\begin{gathered} P(1)=\frac{4}{8}=\frac{1}{2} \\ P(5)=\frac{3}{8} \\ P(10)=\frac{1}{8} \end{gathered}

Then the expected value is:

\begin{gathered} EV=1(\frac{4}{8})+5(\frac{3}{8})+10(\frac{1}{8}) \\ EV=\frac{4}{8}+\frac{15}{8}+\frac{10}{8} \\ EV=\frac{29}{8} \\ EV=3\frac{5}{8} \end{gathered}

Therefore the expected value is 3 5/8 and the answer is D.

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