Let A and B be events with P(A) = 0.5 and P(A n Bc) = 0.4.

Chapter 2, Problem 2E

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QUESTION:

Let A and B be events with \(P(A)=0.5\) and \(P\left(A \cap B^{c}\right)=0.4\). For what value of \(P(B)\) will A and B be independent?

Equation Transcription:

Text Transcription:

P(A)=0.5

P(ABc)=0.4

P(B)

Questions & Answers

QUESTION:

Let A and B be events with \(P(A)=0.5\) and \(P\left(A \cap B^{c}\right)=0.4\). For what value of \(P(B)\) will A and B be independent?

Equation Transcription:

Text Transcription:

P(A)=0.5

P(ABc)=0.4

P(B)

ANSWER:

Solution :

Step 1 of 1:

Let A and B be the two events.

The probability of A is

P(A)=0.5 and

=0.4

Our goal is :

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