1. A monkey is playing with an old typewriter for which only the 26 capital letters are still working. Assuming that each key is equally likely to be hit at every time (and that this monkey has enough energy to keep on typing for an arbitrarily long time) show that the monkey would type the word "ABRACADABRA" w.p. 1. Give an estimate on how long, on average, will it take for this to happen.