ABRACADABRA. At each time 1, 2, 3, . . . a monkey types a capital letter at random, so the sequence typed is an i.i.d. sequence of RVs each chosen uniformly among the 26 possible capital letters. Just before each time t = 1, 2, . . . a new gambler arrives. He bets $1 that the nth letter will be A. If he loses he leaves. If he wins he bets his fortune of $26 that the (n + 1)st letter will be B. If he loses he leaves. If he wins he bets his fortune of $262 that the (n + 2)nd letter will be R and so on through ABRACADABRA. Let T be the first time the monkey has produced the consecutive sequence. Show why E(T) = 26^11 + 26^4 + 26.