Suppose we throw a die until we get either (6,5) or (6,6) on consecutive throws. What is the probability that we'll get to (6,5) before (6,6) ?
2026-03-27 14:21:34.1774621294
Probability of getting (6,5) on consecutive throws before getting a (6,6) on consecutive throws of a die.
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Obviously: $50\%$. Nothing matters until you get a $6$. Then it is equally likely your next roll is a $5$ or a $6$.