Alice is learning more advanced techniques for the shift cipher. She now chooses a random five-letter word (so all five-letter words in the dictionary have the same probability) and encrypts it using a shift cipher with a randomly chosen key (that is, each possible shift has probability 1/26). Eve intercepts the ciphertext evire. Show that P ( M = a r e n a C = e v i r e ) = 1 / 2