Math-Please help :(

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Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region.

(2 intersecting circles A & B, where A part is 50, B part is 110, and the intersecting part is 40)

Determine:

n(A)
n(B)
P(A)
P(B)
P(A|B)
P(B|A)


How in the world do i input this in my calculator?? I have no idea how to do this....

  • Venn Diagrams :( -

    If your A does not include the intersection of A and B, then
    n(A)=number of items belonging to A
    A part + intersection of A & B
    n(B)=B part + intersection of A & B
    Total of A & B (assumed = universe)
    n(U)=A part + B part + intersection

    P(A)=probability of picking an item from A
    =n(A)/n(U)
    P(B)=n(B)/n(U)
    P(A∩B)=n(A∩B)/n(U)

    P(A|B)=probability of A given B
    =P(A∩B)/P(B)
    P(B|A)=P(B∩A)/P(A)

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