Your question is Winning Probability in Die Race. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Two players take turns rolling a fair six-sided die. The first player to roll a 6 wins. If Player A goes first, what is the probability that Player A wins the game?
Express the answer as an exact fraction and decimal. Show the reasoning, accounting for the possibility that both players repeatedly fail to roll a 6.
