AP EAMCET · Maths · Probability
If \(A\) and \(B\) be independent events with \(P(A)=\frac{1}{3}\) and \(P(B)=\frac{2}{7}\), then the value of \(P\left(\frac{A}{B^C}\right)\) is
- A \(\frac{1}{3}\)
- B \(\frac{2}{7}\)
- C \(\frac{2}{21}\)
- D \(\frac{5}{21}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Given, \(P(A)=\frac{1}{3}, P(B)=\frac{2}{7}\) \(P\left(A / B^{\prime}\right)=\frac{P\left(A \cap B^{\prime}\right)}{P\left(B^{\prime}\right)}=\frac{P(A)-P(A \cap B)}{1-P(B)}\) \(=\frac{P(A)-P(A) P(B)}{1-P(B)}\) \([\because A\) and \(B\) are independent events \(]\)…
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