作业帮12个色子扔一次和1个色子扔12次得到的概率一样吗?
来源：学生作业帮 编辑：作业帮 分类：英语作业 时间：2024/05/14 07:12:26
12个色子扔一次和1个色子扔12次得到的概率一样吗?
比如求6不出现的概率,
if you throw 12 dice what is
(1)the probability of getting 0 sixes
(2)the probability of getting 1 six
(3)what is the most likely number of sixes
比如求6不出现的概率,
if you throw 12 dice what is
(1)the probability of getting 0 sixes
(2)the probability of getting 1 six
(3)what is the most likely number of sixes
回答：
一样.
(1) The probability for each dice not to get six is (5/6),so for 0 sixes out of 12 dices,the probability is
(5/6)^12 ≈0.1122
(2) The probability of getting 1 six is
C(12,1) x (1/6)^1 x (5/6)^(12-1) ≈ 0.2692
(3) The most likely number of sixes is the expected number,i.e.,
12 x (1/6) = 2.
一样.
(1) The probability for each dice not to get six is (5/6),so for 0 sixes out of 12 dices,the probability is
(5/6)^12 ≈0.1122
(2) The probability of getting 1 six is
C(12,1) x (1/6)^1 x (5/6)^(12-1) ≈ 0.2692
(3) The most likely number of sixes is the expected number,i.e.,
12 x (1/6) = 2.
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