Question: [08] Which probability is greater: to score at least one ace (a 6) in six throws of a die, or to score at least two

[08] Which probability is greater: to score at least one ace (a 6)

in six throws of a die, or to score at least two aces in 12 throws of a die?

Comments. This question was submitted to Isaac Newton by the famous diarist Samuel Pepys in 1693. Newton answered that an easy computation shows that the first event has the greater probability, but failed to convince Pepys. Source: [The Amer. Statistician, 14(1960), 27–30].

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