Expected profit of a paid dice roll

You pay $4 to roll a fair six-sided die and win the face value in dollars. What is your expected profit (in dollars, to two decimals)?

Show hints (2)+
  1. Find the expected payoff first.
  2. Profit = expected payoff − cost to play.

Answer

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-0.5 (± 0.01)

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Asked at: Optiver, Akuna Capital

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