Exercise 4.24. We roll a fair die repeatedly and keep track of the observed frequencies of the outcomes 1, 2, . . ., 6. (a) Show that the probability of seeing at least 17% fours converges to zero as the number of rolls tends to infinity. (b) Let A be the event that after n rolls the frequencies of all six outcomes ** You only need to do part (a). Apply the Law of Large Numbers (Theorem 4.8). Say explicitly what you are using for p and for .