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....
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)