Consider the following famous puzzle from the early days of probability, investigatedby Pascal and Fermat. Which of the following events is more likely: to roll at least one 6 in four rolls of a fair die, or to roll at least one double-6 in 24 rolls of two fair dice?

a. Write a program to simulate a set of four die rolls many times, and use the results to estimate P(at least one 6 in 4 rolls).
b. Now adapt your program to simulate rolling a pair of dice 24 times. Repeat this simulation many times, and use your results to estimate P(at least one double-6 in 24 rolls).