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# Maths statistics venn diagram question help watch

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1. Is P(B') the same as P(AUB') in venn diagrams
2. (Original post by youreanutter)
Is P(B' the same as P(AUB' 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...
3. (Original post by Scopeowner)
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...
wont it be 1-P(B) then?
4. (Original post by youreanutter)
wont it be 1-P(B) then?
Yes, you are right. Accidently put P(B') instead of P(B).
5. B' implies anything in the venn diagram other than those in B. thus, P(B' 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' 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.
6. (Original post by Raees_Sharif)
B' implies anything in the venn diagram other than those in B. thus, P(B' 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 A (assuming the only events are A, and B and that A and B aren't mutually exclusive). P(B' 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 A.
could u use the uninions U and ∩ in description as im still confused
7. (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
8. (Original post by Raees_Sharif)
replace all 'and' with ∩. idk how to use latex
so is
is P(A∩B') the same as P'(B∩A)
9. (Original post by youreanutter)
so is
is P(A∩B' the same as P'(B∩A)
P(A∩B') is the same as P(B'∩A)
10. (Original post by youreanutter)
Is P(B' the same as P(AUB' 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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Updated: December 13, 2015
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