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    Game Winning Probability

    Bob and Meena play a two-person game which is won by the first person to accumulate 10 points. At each turn Bob gains a point with probability of $ \frac{1}{3} $ . If he doesn't get a point, then Meena gets a point. Meena is now ahead 9 to 8. What is the probability that Meena will win? Express your answer as a common fraction.

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    • $\frac{a}{b}$
    • .
    • 0
    • =
    • %
    • $a^n$
    • $a^{\circ}$
    • $a_n$
    • $\sqrt{}$
    • $\sqrt[n]{}$
    • $\pi$
    • $\ln{}$
    • $\log$
    • $\theta$
    • $\sin{}$
    • $\cos{}$
    • $\tan{}$
    • $($
    • $)$
    • $[$
    • $]$
    • $\cap$
    • $\cup$
    • $,$
    • $\infty$

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