# My Favourite Martingale Problems

Just before each time n=1,2,…., a new gambler arrives on the scene, He bets $1that \text{the$n^{th}$letter will be A.} If he loses, he leaves. If he wins, he receives$26 all of which he bets on the event that
\text{the $(n+1)^{th}$ letter will be B.}
If he loses, he leaves. If he wins, he receives $26 all of which he bets on the event that \text{the$(n+2)^{th}\$ letter will be R.}
E(T) = 26^{11}+26^4+26