23) Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny. A) $-0.75 B) $-0.50 C) $0.75 D) $0 E) $-1.00

Advanced Engineering Mathematics
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Suppose you roll a pair of dice

23) Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of
11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of
this game. Find the expected value of a play of this game. Round your answer to the nearest penny.
A) $-0.75
B) $-0.50
C) $0.75
D) $0
E) $-1.00
Transcribed Image Text:23) Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny. A) $-0.75 B) $-0.50 C) $0.75 D) $0 E) $-1.00
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