位置1的问题 Suppose X is a random variable representing rolling a six-sided dice. Assume the dice is fair, so there is an equal probability of rolling any number 1 through 6. What is the following probability? P(2≤X≤5) 13562312清除选择

Question

BlackTom AI · Accepted Answer

这道题涉及对骰子取值的概率计算。
Option A: '1
3' 表示 1/3。这个选项将概率估算为仅有两端之外的情况，但实际上从 2 到 5 一共包含四个可能的点数（2、3、4、5），因此概率应为 4/6，而不是 1/3，因此这个选项错。
Option B: '5
6' 表示 5/6。这个值等于几乎所有面的概率，但在区间 2≤X≤5 内，只有四个面符合条件（2、3、4、5），不是五个面，因此该选项错。
Option C: '2
3' 表示 2/3。确实从 2 到 5 一共四个可能结果，且总共有六个等可能的结果，所以概率是 4/6，化简后等于 2/3，这个描述与题意相符，因此此选项是正确的解释。
Option D: '1
2' 表示 1/2。与实际的 4/6（化简为 2/3）不符，因此此选项错。
总体来看，只有在区间 2≤X≤5 涵盖的结果数与总结果数之比被正确表达时才是对的。

位置1的问题 Suppose X is a random variable representing rolling a six-sided dice. Assume the dice is fair, so there is an equal probability of rolling any number 1 through 6. What is the following probability? P(2≤X≤5) 13562312清除选择

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位置1的问题 Suppose X is a random variable representing rolling a six-sided dice. Assume the dice is fair, so there is an equal probability of rolling any number 1 through 6. What is the following probability? P(2≤X≤5) 13231256清除选择

位置4的问题 Suppose X is a random variable representing rolling a six-sided dice. Assume the dice is fair, so there is an equal probability of rolling any number 1 through 6. What is the following probability? P(2≤X≤5) 13122356清除选择

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