SOLUTION: Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A | B).

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A | B).      Log On


   

Question 205908: Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A | B).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given
P(A) = .70,
P(B) = .30, and
P(A ∩ B) = .00,
find
(a) P(A ∪ B)
P(A U B) = P(A)+P(B)-P(AnB)
= 0.7+0.3 + 0 = 1.
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(b) P(A | B) = P(AnB)/P(B) = 0/0.3 = 0
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Cheers,
Stan H.