# Math-Can you help me Damon or Reiny?

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)

1. 👍 0
2. 👎 0
3. 👁 121
1. 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

1. 👍 0
2. 👎 0
posted by Reiny
2. missed a bracket ...

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

1. 👍 0
2. 👎 0
posted by Reiny

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