Suppose you roll a fair die, and your opponent flips an unfair coin simultaneously (independent events). The die has…

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Suppose you roll a fair die, and your opponent flips an unfair coin simultaneously (independent

events). The die has a % chance of coming up Heads and a % chance of coming up Tails. The

die places a % chance on all values.

You win $3 whenever a Tail appears, and the number of dots on the top face of the dice is either

one or six. For all other outcomes, you lose $1. (Dr. Rui Zhao, University at Albany)

a. What is your expected payoff?

b. What is your opponent’s expected payoff? Is the game in your favor?

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Answer rating: 100% (QA)

To calculate the expected payoff for both you and your opponent we need to determine the probabiliti

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