This problem was posed by the Chevalier de Méré and was solved by Blaise Pascal and Pierre de Fermat.
a) Find the probability of rolling at least one six when a fair die is rolled four times.
b) Find the probability that a double six comes up at least once when a pair of dice is rolled 24 times. Answer the query the Chevalier de Méré made to Pascal asking whether this probability was greater than 1/2.
c) Is it more likely that a six comes up at least once when a fair die is rolled four times or that a double six comes up at least once when a pair of dice is rolled 24 times?