SOLUTION: Suppose events A, B, and C are independent and P(A) = 1/4, P(B) = 1/5, P(C) = 1/8 Find the probability. (Enter the probability as a fraction.) P[(A ∪ B) ∩ C]

Question 1195432: Suppose events A, B, and C are independent and
P(A) = 1/4, P(B) = 1/5, P(C) = 1/8
Find the probability. (Enter the probability as a fraction.)
P[(A ∪ B) ∩ C]

Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.
Suppose events A, B, and C are independent and
P(A) = 1/4, P(B) = 1/5, P(C) = 1/8
Find the probability. (Enter the probability as a fraction.)
P[(A ∪ B) ∩ C]
~~~~~~~~~~~~~~~~

P(A U B) = P(A) + P(B) - P(A ∩ B) =  +  -  =  =  = .


Next, since A, B and C are independent events, the events (A U B) and C are independent events, too.


Therefore,  P((A U B) ∩ C) = P(A U B) * P(C) =  = .    ANSWER

Solved.

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