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MaxPyane2020-03-31 14:18:08
Mathematics
MaxPyane, 2020-03-31 14:18:08

How to understand this case with non-mutually exclusive events in probability theory?

Greetings!
Just started studying probability theory from scratch. Therefore, do not throw complex formulas: D
There is a seemingly simple Venn diagram:
5e831c17a775f002020386.png

The question is P (AUB) = ?
Answer 15% + 55% + 10% = 80%

It seems that there is an intersection and at the same time they are not mutually exclusive, including the intersection in the result led me to some confusion. I seem to understand what is happening here, because we are dealing with interest, but at the same time, not completely. I would like to hear other visions, how do you think in this case?

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2 answer(s)
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Sergey Sokolov, 2020-03-31
@MaxPyane

It seems that everything is correct.
A ∪ B is the union, the cases when it falls into any of the colored areas.
Or, more simply, they are interested in everything except the white 20%.
Both arguments give the same 80%.

X
xmoonlight, 2020-03-31
@xmoonlight

Wikipedia

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