SOLUTION: Find the following probabilities: A)Events A and B are mutually exclusive events defined on a common sample space. If P(A) = 0.4 and P(A or B)= 0.65, find P(B). B)Events A an

Question 231225: Find the following probabilities:
A)Events A and B are mutually exclusive events defined on a common sample space. If P(A) = 0.4 and P(A or B)= 0.65, find P(B).
B)Events A and B are defined on a common sample space. If P(A)= 0.30, P(B)= 0.50,P(A or B) = 0.60, find P(A and B).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A)Events A and B are mutually exclusive events defined on a common sample space. If P(A) = 0.4 and P(A or B)= 0.65, find P(B).
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If A and B are mutually exclusive,
P(A or B) = P(A)+ P(B)
0.65 = 0.4 + +P(B)
P(B) = 0.25
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B)Events A and B are defined on a common sample space. If P(A)= 0.30, P(B)= 0.50,P(A or B) = 0.60, find P(A and B).
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P(A and B) = P(A)+P(B)-P(A or B)
P(A and B) = 0.3 + 0.5 - 0.6
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P(A and B) = 0.2
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Cheers,
Stan H.

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