1.1-6. If P (A) = 0.4, P (B) = 0.5, and P (A ∩ B) = 0.3, find(a) P (A ∪ B)(b) P (A ∩ B′)(c) P (A′ ∪ B′)

Question

1.1-6. If P (A) = 0.4, P (B) = 0.5, and P (A ∩ B) = 0.3, find(a) P (A ∪ B)(b) P (A ∩ B′)(c) P (A′ ∪ B′)
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Solution 1

Sure, here are the solutions to your problems:

(a) P (A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.4 + 0.5 - 0.3 = 0.6

(b) P (A ∩ B′) = P(A) - P(A ∩ B) = 0.4 - 0.3 = 0.1

(c) P (A′ ∪ B′) = 1 - P(A ∪ B) = 1 - 0.6 = 0.4 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to so

study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to he

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