Question 8.107

76. After you tell Jerry the probability that you calculated in Exercise 75, he realizes that he’s unlikely to get a plate ending in AAA. So he asks you, “What’s the probability I will get a plate in which all four letters are from my name?” These letters are J, E, R, and Y.

  1. Suppose that Jerry insists that the letters appear in order, so that his plate reads JnmERY, where and stand for any number. What is the probability?
  2. Suppose Jerry allows his letters to appear in the plate in any order and also allows repeats. What is now the answer to Jerry’s question?