Question

A French nobleman, Chevalier de M´er´e, had asked a famous mathematician, Pascal, to explain why the following two probabilities were different (the difference had been noted from playing the game many times): (1) at least one six in four independent casts of a six-sided die; (2) at least a pair of sixes in 24 independent casts of a pair of dice. From proportions it seemed to de M´er´e that the probabilities should be the same. Compute the probabilities of (1) and (2).

Answer 1

We find probabilities 0.5177 for (1) and 0.4914 for (2)

Step-by-step explanation:

see attachment for full explanation.