3.2.9. The great English diarist Samuel Pepys asked his friend Sir Isaac Newton the following question: Is it more likely to get at least one 6 when six dice are rolled, at least two 6’s when twelve dice are rolled, or at least three 6’s when eighteen dice are rolled? After considerable correspondence [see (167)], Newton convinced the skeptical Pepys that the first event is the most likely. Compute the three probabilitie