we flip 3 coins-- you win $1 if there are 2 heads or all tai
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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
is this game fair?
不是英文翻译 不过1L
![we flip 3 coins-- you win $1 if there are 2 heads or all tai](/uploads/image/z/5944197-21-7.jpg?t=we+flip+3+coins--+you+win+%241+if+there+are+2+heads+or+all+tai)
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
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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