1. Find the probability distribution for x = the sum of a fair, four sided die and and fair, sixsided die. b) for x from problem 1, find the probability of having the sum be at least four. c) for x from problem 1, find the probability for the sum being at most 8.
2. Find the probability that the sum is exactly 4 twice, when rolling the two dice 7 times
3. Find the probability that the sum is 10 for the first time, happens on the 20th roll of the two dice