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Maths statistics venn diagram question help

Is P(B') the same as P(AUB') in venn diagrams
Original post by youreanutter
Is P(B':wink: the same as P(AUB':wink: in venn diagrams


No, P(B') is the event of B not happening. So in a Venn Diagram it will be every other event excluding B. Therefore it should be 1 - P(B). I think...
(edited 8 years ago)
Original post by Scopeowner
No, P(B':wink: is the event of B not happening. So in a Venn Diagram it will be every other event excluding B. Therefore it should be 1 - P(B':wink:. I think...


wont it be 1-P(B) then?
Original post by youreanutter
wont it be 1-P(B) then?


Yes, you are right. Accidently put P(B') instead of P(B).
(edited 8 years ago)
B' implies anything in the venn diagram other than those in B. thus, P(B':wink: implies the probability of anything other than B. A and not B implies the majority part of A which doesn't intersect with B. therefore, P(A and not B) implies the probability of only getting something from A and not B (assuming the only events are A, and B and that A and B aren't mutually exclusive). P(B':wink: can include P(A and not B) but it is not the same because it also includes anything that is not A and not B (the stuff outside the two circles) whereas P(A and not B) only includes those in A and not B.
(edited 8 years ago)
could u use the uninions U and in description as im still confused
Original post by youreanutter
could u use the uninions U and in description as im still confused


replace all 'and' with ∩. idk how to use latex
so is
is P(A∩B') the same as P'(B∩A)
Original post by youreanutter
so is
is P(A∩B':wink: the same as P'(B∩A)

P(A∩B') is the same as P(B'∩A)
Reply 9
Original post by youreanutter
Is P(B':wink: the same as P(AUB':wink: in venn diagrams


It depends,
I am attaching the answer for this question.
Let me know if there is any confusion after going through that.

P.S - Sorry for my bad handwriting.

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