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3.2:独立和互斥的事件

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    204813
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    独立和相互排斥并不意味着同一件事。

    独立活动

    如果以下条件之一成立,则两个事件是独立的:

    • 如果知道其中一个事件的发生不影响另一个事件发生的几率,则两个事件 A 和 B 是独立的。 例如,公平投注的两个角色的结果是独立的事件。 第一轮的结果不会改变第二轮结果的概率。 要显示两个事件是独立的,必须只显示上述条件之一。 如果两个事件不是独立的,那么我们就说它们是依赖的。

      取样可以在更换或不更换的情况下进行。

      • 如果不知道 AB 是独立的还是依赖的,则假设它们是依赖的,直到你能另行显示为止。
        1. 计算\(P(T)\)
        2. 计算\(P(T|F)\)
        3. \(F\)独立\(T\)的吗?
        4. \(F\)和是\(S\)相互排斥的吗?
        5. \(S\)独立\(F\)的吗?

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