Homework Help: Math-Can you help me Damon or Reiny?

Posted by Jen on Thursday, July 28, 2011 at 8:01pm.

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? - Reiny, Friday, July 29, 2011 at 8:37am
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? - Reiny, Friday, July 29, 2011 at 8:38am
missed a bracket ...

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

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