This problem was posed by the Chevalier de Mere and was
Chapter 10, Problem 41E(choose chapter or problem)
Problem 41E
This problem was posed by the Chevalier de Mere 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 Mere 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?
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