Question 1042693: In a carnival game, you roll 2 dice. If the sum is 6, you receive a $5 payoff. If the sum is 12, you receive a $8 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a carnival game, you roll 2 dice. If the sum is 6, you receive a $5 payoff. If the sum is 12, you receive a $8 payoff. Otherwise, you receive no payoff. What is the expected payoff? (Round your answer to two decimal places.)
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Sum can be 6 in 5 ways:: 1/5;2/4;3/3;4/2;5/1
Sum can be 12 in 1 wah:: 6/6
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Random "gain":: .....$8......$5......0
Probability:::: ..... 1/12...5/12....6/12
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Expected Gain = (1*8 + 5*5 + 6*0)12 = 33/12 = $2.75
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Cheers,
Stan H.
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