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Heather and Isabelle play a two-person game which is won by the first person to accumulate 10 points. At each turn Heather gains a point with probability of 2/3. If she doesn't get a point then Isabelle gets a point. Isabelle is now ahead 8 to 6. What is the probability that Isabelle will win? Express your answer as a common fraction.

 Jan 13, 2021
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The probability is 7/27.

 Jun 1, 2021

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