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e great English diarist Samuel Pepys ked his friend Sir Isaac Newton the lowing question: Is it more likely to st one 6 when 6 dice are rolled, at I o 6's when 12 dice are rolled or at le ree 6's when 18 dice are rolled? Afte nsiderable correspondence, Newton

e great English diarist Samuel Pepys ked his friend Sir Isaac Newton the lowing question: Is it more likely to st one 6 when 6 dice are rolled, at I o 6's when 12 dice are rolled or at le ree 6's when 18 dice are rolled? Afte nsiderable correspondence, Newton

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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 6 dice are rolled, at least two 6's when 12 dice are rolled or at least three 6's when 18 dice are rolled? After considerable correspondence, convinced the skeptical Pepys that the first event is the most likely. Do you agree with Newton's answer? Justify your answer by computing the three probabilities. Newton
Transcribed Image Text: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 6 dice are rolled, at least two 6's when 12 dice are rolled or at least three 6's when 18 dice are rolled? After considerable correspondence, convinced the skeptical Pepys that the first event is the most likely. Do you agree with Newton's answer? Justify your answer by computing the three probabilities. Newton
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