谁能告诉我 mutually exclusive 跟 independent的本质区别？(Math)

These are the two concepts in the Probability in the Math.
Who can tell me the difference between them?
Thx' so much

Mutually exclusive events means they must not be independent. If one has happened, the other must not happen at all. It is possible that neither of them happens but it is impossible that both of them happen at the same time.

Independent events means there are not any relationship between them at all. If one has happened, the other may happen and also may not happen. It is possible that neither of them happens and it is possible that both of them happen as well.

好吧学渣不知道怎么用英文继续解释下去了。举个例子吧。如果我们扔一个硬币，我们是不可能同时扔到正和反的。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 events:
P(AnB)=P(A)*P(B)
P(AUB)=...嘛...这个没得算吖...

还是不懂可以追问。
全手打，求最佳。
请认准 皑皑皑皑白。
盗文可耻。

我来告诉你吧:
(1)
mutually exclusive
adj.
互斥的

(2)
independent
adj.