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]
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Probability-and-statistics
-> 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]
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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]
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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]
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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
