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Maths statistics venn diagram question help watch

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    Is P(B') the same as P(AUB') in venn diagrams
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    (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...
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    (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?
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    (Original post by youreanutter)
    wont it be 1-P(B) then?
    Yes, you are right. Accidently put P(B') instead of P(B).
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    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.
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    (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
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    (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
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    (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)
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    (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)
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    (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.
    Attached Images
     
 
 
 
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