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Adam and Eric play a game by taking turns rolling a fair 8-sided-die. The person who first rolls a six wins the game. Adam is

Adam and Eric play a game by taking turns rolling a fair 8-sided-die. The person who first rolls a six wins the game. Adam is the first to roll the die.

(a) (2 points) Calculate the probability that Eric wins the game on his fourth roll.

(b) (3 points) What is the probability that Adam will be the eventual winner?

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