In the 18th century, the Chevalier de Mere asked Blaise Pascal to compare the probabilities of two events. Below, you will compute the probability of the two events that, prior to contrary gambling experience, were thought by de Mere to be equally likely.
a What is the probability of obtaining at least one 6 in four rolls of a fair die?
b If a pair of fair dice is tossed 24 times, what is the probability of at least one double six?