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On three rolls of a single die, you will lose $10 if a 5 turns up...

On three rolls of a single die, you will lose $10 if a 5 turns up at least once, and you will win $7 otherwise. What is the expected value of the game?

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You will lose $10 if a 5 turns up at least once, and you will win $7 otherwise.

The probabilities of the defined events are

The expected value of the game is

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