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AL Maths Stats Question

https://www.quora.com/profile/Bravewarrior/p-159985179
Here is the question (and the venn diagram needed for it). I am stuck on part c, I know that for two events to be independent, say A and B, then P(A intersection B) =P(A) x P(B). But here how can I get P(not A intersection C) from the venn diagram? And use that to compare to P(Not A) x P(C)? Some help would be greatly appreciated!
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Original post by pigeonwarrior
https://www.quora.com/profile/Bravewarrior/p-159985179
Here is the question (and the venn diagram needed for it). I am stuck on part c, I know that for two events to be independent, say A and B, then P(A intersection B) =P(A) x P(B). But here how can I get P(not A intersection C) from the venn diagram? And use that to compare to P(Not A) x P(C)? Some help would be greatly appreciated!

p(A'nC) is just the intersection between being in C and NOT A, so there are a couple of regions satisfying it so ...
Original post by mqb2766
p(A'nC) is just the intersection between being in C and NOT A, so there are a couple of regions satisfying it so ...

I see it now, thank you!

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