Homework SourseTwo events A and B have the following probabilities PA 03 P
Two events A and B have the following probabilities: P[A] = 0.3. P[B] = 0.6 and P[A U B] = 0.2, Calculate the following: ![Two events A and B have the following probabilities: P[A] = 0.3. P[B] = 0.6 and P[A U B] = 0.2, Calculate the following: Solutiona) P(A U B) = P(A) + P(B) - P(](/WebImages/14/two-events-a-and-b-have-the-following-probabilities-pa-03-p-1018829-1761526720-0.webp "Two events A and B have the following probabilities: P[A] = 0.3. P[B] = 0.6 and P[A U B] = 0.2, Calculate the following: Solutiona) P(A U B) = P(A) + P(B) - P(")
Solution
a)
P(A U B) = P(A) + P(B) - P(A n B) = 0.3+0.6-0.2 = 0.7 [answer]
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b)
P(A n B\') = P(A) - P(A n B) = 0.3 - 0.2 = 0.1 [ANSWER]
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C)
P(A\' U B\') = 1 - P(A n B) = 1 - 0.2 = 0.8 [ANSWER]
