Math-Can you help me Damon or Reiny?

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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)

  • Math-Can you help me Damon or Reiny? -

    counting all the numbers in A I see n(A) = 90
    n(B)=150
    total is 200 , P(A) = 90/200 = 9/20

    P(B) = 150/200 = 3/4

    P(A|B) is a conditional probability and is defined as
    P(A∩B/P(B)
    = (40/200) / (3/4) = 4/15

    find P(B|A) the same way

  • Math-Can you help me Damon or Reiny? -

    missed a bracket ...

    P(A|B) is a conditional probability and is defined as
    P(A∩B) / P(B)

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