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Another Game of Dice
Your friend offers to play a game of dice with you. He explains the game to you.
"We each get one die, the highest die wins. If we tie, I win, but since you always lose when you roll a one, if you roll a one you can roll again. If you get a one the second time you have to keep it."
What is each person's probability of winning?
What are the probabilities of winning if you can keep rolling until you get something besides a one?
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