If A and B are two independent events such that P (A) > 0, and P (B) ≠ 1, then is equal to

Mathematics · JEE Advanced · NTA Exams — Statistics and Probability

If A and B are two independent events such that
P (A) > 0, and P (B) ≠ 1, then is equal to

1. \(1-\mathrm{P}(\overline{\mathrm{~A}} / \mathrm{B})\)
2. \(1-\mathrm{P}(\mathrm{~A} / \overline{\mathrm{B}})\)
3. \(\frac{1-\mathrm{P}(\mathrm{~A} \cup \mathrm{~B})}{\mathrm{P}(\mathrm{~B})}\)
4. \(\frac{P(\bar{A})}{P(\bar{B})}\)

Answer

(B) 1- P ( ~A / B )

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