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Role of the Die

A fair die is rolled until win or loss occurs:

For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number<k occurs you lose $10 and the game ends; otherwise you roll again.

For k>5: if a 6 occurs on the kth roll you win N dollars and the game ends; if a number<5 occurs you lose $10 and the game ends; if a 5 occurs you roll again.

what value should N have for this game to be fair?

Solution Summary

The solution addresses the win and loss that occurs with a roll of the die.

$2.19