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.

Guest Jan 13, 2021