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三孩分 1 个苹果:如何公平

three children but only one apple

专题
Probability / 概率
难度
L4

题目详情

You have three children, but only one apple. You want to toss a fair coin to determine which child gets the apple. You want each child to be equally likely to get the apple. What is your strategy?

解析

抛两次硬币,令

  • HT → 给孩子 1
  • TH → 给孩子 2
  • HH → 给孩子 3
  • TT → 重新开始

因为在“非 TT”的条件下,HT/TH/HH 等概率,所以每个孩子得到苹果概率均为 1/31/3