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The following problem was once posed by the diarist Samuel Pepys to Isaac Newton. Who has the greatest chance of success: a man who throws six dice in hopes of obtaining at least one 6; a man who throws twelve dice in hopes of obtaining at least two 6s; or a man who throws eighteen dice in hopes of obtaining at least three 6s? Compute the probability of success in each of the three cases posed by Pepys.

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