About: Newton–Pepys problem

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The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. In 1693 Samuel Pepys and Isaac Newton corresponded over a problem posed to Pepys by a school teacher named John Smith. The problem was: Which of the following three propositions has the greatest chance of success?A. Six fair dice are tossed independently and at least one “6” appears.B. Twelve fair dice are tossed independently and at least two “6”s appear.C. Eighteen fair dice are tossed independently and at least three “6”s appear.

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  • The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. In 1693 Samuel Pepys and Isaac Newton corresponded over a problem posed to Pepys by a school teacher named John Smith. The problem was: Which of the following three propositions has the greatest chance of success?A. Six fair dice are tossed independently and at least one “6” appears.B. Twelve fair dice are tossed independently and at least two “6”s appear.C. Eighteen fair dice are tossed independently and at least three “6”s appear. Pepys initially thought that outcome C had the highest probability, but Newton correctly concluded that outcome A actually has the highest probability. (en)
  • 牛顿-皮普斯问题是一个掷骰子的概率问题。塞缪尔·皮普斯1693年向艾萨克·牛顿咨询怎样在赌局中下注赢面更大，在信中他问道：下列三种情形哪一种概率最高： * A.6个正常的骰子独立投掷，至少出现1个6. * B.12个正常的骰子独立投掷，至少出现2个6. * C.18个正常的骰子独立投掷，至少出现3个6. (zh)
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  • 牛顿-皮普斯问题是一个掷骰子的概率问题。塞缪尔·皮普斯1693年向艾萨克·牛顿咨询怎样在赌局中下注赢面更大，在信中他问道：下列三种情形哪一种概率最高： * A.6个正常的骰子独立投掷，至少出现1个6. * B.12个正常的骰子独立投掷，至少出现2个6. * C.18个正常的骰子独立投掷，至少出现3个6. (zh)
  • The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. In 1693 Samuel Pepys and Isaac Newton corresponded over a problem posed to Pepys by a school teacher named John Smith. The problem was: Which of the following three propositions has the greatest chance of success?A. Six fair dice are tossed independently and at least one “6” appears.B. Twelve fair dice are tossed independently and at least two “6”s appear.C. Eighteen fair dice are tossed independently and at least three “6”s appear. (en)
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  • Newton–Pepys problem (en)
  • 牛顿-皮普斯问题 (zh)
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