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

问题描述:

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

是的,在绝对公平,绝对随机的情况下,概率是相等的

一样
(1)抛第一个色子后6不出现的概率是5/6,抛其它色子也是一样。那么第一种方法不出现的概率就是每次概率的积。(2)第一次抛色子6不出现的概率是5/6,之后几次中不出现的概率也是5/6,第二种还是它们的积
有些数学问题就是生活常识

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...