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You have a single die. If you roll a 2 or 4 you win the game, if you roll a 6 you lose. Otherwise, keep rolling until you get a 3 or 6. If you get a 3 you win and a 6 you lose. What is the probability you win?

I know on the first roll the probability is 2/6 you win, 1/6 you lose, and 3/6 you continue. Onwards its 1/6 win, 1/6 loss, and 4/6 roll again. We've never done a continuous problem like this one so I'm completely lost.

You have a single die.
If you roll a 2 or 4 you win the game; if you roll a 6 you lose.
Otherwise, keep rolling until you get a 3 or 6.
If you get a 3, you win. if you roll a 6, you lose.
What is the probability you win?

I know on the first roll the probability is 2/6 you win, 1/6 you lose, and 3/6 you continue.
Onwards its 1/6 win, 1/6 loss, and 4/6 roll again. . Correct!