Let events A and B be such thatP (A ∪ B) = 34, P (A ∩ B) = 14 and P (Ac) = 23.Find P (B) and P (A ∩ Bc)

Question

Let events A and B be such thatP (A ∪ B) = 34, P (A ∩ B) = 14 and P (Ac) = 23.Find P (B) and P (A ∩ Bc)
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Solution 1

Sure, I can help with that. Here's how you can find P(B) and P(A ∩ Bc):

Step 1: Find P(B)

We know that P(A ∪ B) = P(A) + P(B) - P(A ∩ B). We can rearrange this formula to solve for P(B):

P(B) = P(A ∪ B) + P(A ∩ B) - P(A)

We know that P(A ∪ B) = 3/4, P(A ∩ B) = 1/4, and P(A) = 1 - P(Ac) = 1 - 2/3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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 help you to solv

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