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The numbers 2: 37 5: T and 11 are prime. Suppose you roll a pair of fair dice and add the uppermost faces. The probability or rolling a prime is 15f35, but you should verify this. a. If your roll the dice 2-D times= what is the probability the sum is prime fewer than 5 times? b. If you roll the dice 2U times: what is the probability the sum is prime at least 3 times? o. 1iufhat is the probability it takes more than 5 rolls to get the rst prime sum?I d. 1What is the probability it takes at most 4 rolls to get the rst prime sum? e. 1What is the probability it takes fewer than 15 rolls to get the fourth prime sum? f. 1What is the probability it takes at least 12 rolls to get the fourth prime sum? Suppose a computer simulated the experiment of rolling two dies. The simulation was repeated over and over and each time the sum of the dice was saved to a le with oommas separating the numbers. \"Then the le was printed: Erie observed that were on average 5 primes per square inch of text. g. 1What is the probability that there are more than 35 primes on 8 square inches of text?' h. 1What is the probability that there are no more than 25 primes on 4 square inches of text