SOLUTION: If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below. (a) P(A ⋂ B) (b) P(A ⋃ B)

Algebra ->  Probability-and-statistics -> SOLUTION: If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below. (a) P(A ⋂ B) (b) P(A ⋃ B)       Log On


   

Question 634703: If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below.
(a) P(A ⋂ B)

(b) P(A ⋃ B)

Answer by Edwin McCravy(20064) About Me  (Show Source):
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If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below.
 
(a)    P(A ⋂ B) = P(A)×P(B) = (0.3)(0.55) = 0.165

(b)    P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B) = 0.3 + 0.55 - 0.165 = 0.385

Edwin