5. Mixed Strategies

Expected Payoffs — Quiz

Test your understanding of expected payoffs with 5 practice questions.

Practice Questions

Question 1

A player receives $5$ if the opponent plays Left and $1$ if the opponent plays Right. If Left is chosen with probability $0.6$ and Right is chosen with probability $0.4$, what is the expected payoff?

Question 2

A mixed strategy yields payoff $8$ with probability $0.25$ and payoff $0$ with probability $0.75$. What is the expected payoff?

Question 3

A player gets $12$ if the opponent chooses Left and $-4$ if the opponent chooses Right. If each happens with probability $0.5$, what is the expected payoff?

Question 4

A payoff of $9$ occurs on Heads and a payoff of $3$ occurs on Tails. If a fair coin is tossed, what is the expected payoff?

Question 5

A player earns $7$ against strategy $X$ and $-1$ against strategy $Y$. If the opponent uses $X$ with probability $0.75$ and $Y$ with probability $0.25$, what is the expected payoff?