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Two dices each has six sides, which represent six values 1, 2, 3, 4, 5, 6 respec
Two dices each has six sides, which represent six values 1, 2, 3, 4, 5, 6 respec
游客
2024-01-12
56
管理
问题
Two dices each has six sides, which represent six values 1, 2, 3, 4, 5, 6 respectively. Cast the two dices and get two values, what is the probability of one value being 2 more than the other?
选项
A、4/30
B、2/9
C、1/9
D、1/18
E、7/36
答案
B
解析
每个骰子都有6种可能的取值,因此分母所有可能的方式有:6×6=36。分子为满足要求的取法,要使一个骰子的值比另一个骰子的值大2,有多少种可能呢?下面是差为2的数值对:(3,1),(4,2),(5,3),(6,4)。题目中说一个骰子的值比另一个骰子的值大2,没有具体说是哪一个骰子大,那么两个骰子都有可能大,所以尽管上面列出4对,但是实际上应该算作有4×2=8种,这样所求概率是8/36=2/9,答案应该是B。
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