Question 228976: Find the following probabilities:
(A) Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.5 and P(A or B) = 0.75, find P(B).
(B) Events A and B are defined on a common sample space. If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.70, find P(A and B)
(Points: 4)
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) = 0.5 and P(A or B) = 0.75, find P(B).
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If A and B are mutually exclusive
P(A or B) = P(A)+P(B)
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0.75 = 0.5 + 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, and P(A or B) = 0.70, find P(A and B)
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P(A and B) = P(A) + P(B) - P(A or B)
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P(A and B) = 0.30 + 0.50 - 0.7
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P(A and B) = 0.1
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Cheers,
Stan H.
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