we flip 3 coins-- you win $1 if there are 2 heads or all tai

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/23 01:17:36

we flip 3 coins-- you win $1 if there are 2 heads or all tails; otherwise you lose $1
is this game fair?
不是英文翻译不过1L

可能得到的结果有：(用A表示上,用B表示下,包括考虑顺序）
AAA,AAB,ABA,ABB,BAA,BAB,BBA,BBB （8种情况）
只有AAB和BAA和ABA是两个正面向上（3种情况）
恰有两枚正面向上几率=3/8=0.375
没有一个人头的几率=1/8
赢的几率=3/8+1/8=0.5
所以还是公平的

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