answer all questions with explanation

7. The numbers 2, 3, 5, 7 and 11 are prime. Suppose you roll a pair of fair dice and add the uppermost faces. The probability or rolling a prime is 15/36, but you should verify this, a. If your roll the dice 20 times, what is the probability the sum is prime fewer than 6 times? b. If you roll the dice 20 times, what is the probability the sum is prime at least 8 times? C. What is the probability it takes more than 5 rolls to get the first prime sum? d. What is the probability it takes at most 4 rolls to get the first prime sum? e+ What is the probability it takes fewer than 16 rolls to get the fourth prime sum? f. What is the probability it takes at least 12 rolls to get the fourth prime sum