Independent Events(独立事件) 二. 互斥事件(Mutually Exclusive Events) 定义(Definition) 如果两个事件不能同时发生,则它们是互斥事件。换句话说,如果一个事件发生了,另一个事件就不可能发生。 数学表达: P(A∩B)=0 即:事件A和事件B的交集概率为零。 示例1:投掷骰子(Rolling a
Independent and mutually exclusive do not mean the same thing.Independent EventsTwo events are independent if the following are true:P(A|B) = P(A) P(B|A) = P(B) P(A AND B) = P(A)P(B)Two events A and B are independent if the knowledge that one occurred does not affect the ...
If two events are mutually exclusive, that means they cannot happen at the same time with a single outcome. Glossary dependent events: if two events are NOT independent, then we say that they are dependent independent events: the occurrence of one event has no effect on the probability of t...
Answer to: Explain the concepts of mutually exclusive events and independent events. Can two events be both mutually exclusive and independent at...
Mutually exclusive events are those that cannot happen simultaneously, whereas independent events are those whose probabilities do not affect one another. See below for more details.Mutually Exclusive EventsThis Venn diagram (see more on Venn Diagrams) shows two mutually exclusive events A and B. ...
要不扔到正，要不扔到反，这就是mutually exclusive events。但是如果我们同时扔一个硬币和一枚骰子，我们是可能同时扔到正面和1的，因为他们两个没半点关系，压根就不会影响到对方的，这就是independent events。用公式来讲：Mutually exclusive events:P(AUB)=P(A)+P(B)P(AnB)=0 Independent ...
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概率学中,判断两个Event之间到底是Mutually Exclusive的关系还是Independent关系,这是许多同学们分不清楚的一个概念问题。今天我们大概用一个投掷硬币的Experiment,一次性将这两个概念彻底分清。 A-level数学 Mutually Exclusive所代表的含义是:两个Event不可能同时发生。 如果我们用投掷硬币来看待MutuallyExclusive的概念的...
在数学中，"mutually exclusive"（互斥）和"independent"（独立）是两个基本的概念，它们在事件发生的可能性上有着显著的区别。简单来说，互斥事件意味着两个事件不能同时发生，一旦一个事件发生，另一个必然不会发生。例如，抛硬币时，正面和反面是互斥的，不可能同时出现。公式表达为：P(A ∪ B) =...
The confusion stems from the fact that while mutually exclusive and independent events can be used in counting techniques, only mutually exclusive(ness) can be used to describe two sets. There is not concept of two sets being independent, but rather, choosing from two sets can be independent....