Reaching the target before ruin

In a fair game you start with $3 and bet $1 at a time, stopping at $0 or $10. What is the probability you reach $10 first?

Show hints (2)+
  1. Fair gambler's ruin: probability =i/N=i/N.
  2. i=3,N=10i=3,N=10.

Answer

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0.3

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