If \(A\) and \(B\) are such events that

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If \(A\) and \(B\) are such events that \(P(A)>0\) and \(P(B)\neq 0\) then \(P\left(\frac{\bar{A}}{B}\right)\) is equal to

Options:

\(\frac{1-P(A \cup B)}{P(\bar{B})}\)

\(\frac{P(A \cup B)-1}{P(\bar{A})}\)

\(1+P\left(\frac{\bar{A}}{B}\right)\)

None of these

Correct Answer:

\(\frac{1-P(A \cup B)}{P(\bar{B})}\)

Explanation:

Use conditional probability