SOLUTION: Given that 𝑃(𝐴) = 1/3
3� , 𝑃(𝐵) = 1/2
2� and 𝑃(𝐴 ∪ 𝐵) = 3/4
4� , find 𝑃(𝐴w
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Question 1097609: Given that 𝑃(𝐴) = 1/3
3� , 𝑃(𝐵) = 1/2
2� and 𝑃(𝐴 ∪ 𝐵) = 3/4
4� , find 𝑃(𝐴𝑐 ∩ 𝐵).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Given Info:
 = \frac{1}{3})
 = \frac{1}{2})
 = \frac{3}{4})
------------
What we want to solve for: )
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Before we can get to the answer, we need to find )
first.
Use this equation:
 = P(A) + P(B) - P(A \cap B))
------------
Let )
. Solve for x.
This means that  = \frac{1}{12})
---------------------------------------------------------------------
Use the previous result to compute
 = P(B) - P(A \cap B))
 = \frac{1}{2} - \frac{1}{12})
 = \frac{6}{12} - \frac{1}{12})
 = \frac{6-1}{12})
 = \frac{5}{12})
---------------------------------------------------------------------
---------------------------------------------------------------------
The final answer is 
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