Two sides of a regular 6-sided die are painted red,two sides

来源：学生作业帮编辑：作业帮分类：英语作业时间：2024/08/29 18:42:40

Two sides of a regular 6-sided die are painted red,two sides are painted yellow,and two
sides are painted blue.If you roll the die 10 times,what is the probability that you get red
5 times,yellow 3 times,and blue 2 times?

将10次得到的颜色依次排列,排列的每个位置有3种颜色可选,所以有 3^10 种排列.
因为骰子是等概率的,所以这 3^10 种排列是等概率的.
在这 3^10 种排列中,5红3黄2蓝的排列数是：
C(10,5) * C(10 - 5,3) * C(10 - 5 - 3,2) = 10!/ (5!* 3!* 2!) = 2520
所以,所求概率是：
2520 / 3^10 = 0.04267642127724432251181222374638

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