Mutually exclusive events and independent events are not the same, therefore don't mixed up [1]. Recently, I started to read a book about probability. In the second chapter of the book [2], I have already found my big misunderstood. I didn't know this for a long time. I am not good at probability. Maybe because I missed very fundamental things like this. I thought mutually exclusive and independent are the same thing. Here, I would like to explain they are completely different concepts. Mutually exclusive events are never happens at once. An example of mutually exclusive events are head of first toss of a coin tail of first toss of a coin One coin toss, head and tail at once never happened. But independent events can happens at once. The definition of independent events is This may not be 0. An example of independent events are head of first toss of a coin head of second toss of a coin These two events are independent. But, I also find this defin...
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