COMEDK · Maths · 36. Probability
If \(A\) and \(B\) are events, such that \(P(A)=\frac{1}{4}\) \(P\left(\frac{A}{B}\right)=\frac{1}{2}\) and \(P\left(\frac{B}{A}\right)=\frac{2}{3}\) then \(P(B)\) is
- A \(\frac{1}{3}\)
- B \(\frac{2}{3}\)
- C \(\frac{1}{2}\)
- D \(\frac{1}{6}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
Given, \(P(A)=\frac{1}{4}, P\left(\frac{A}{B}\right)=\frac{1}{2}\) and \(P\left(\frac{B}{A}\right)=\frac{2}{3}\) We know that, \(P\left(\frac{E_1}{E_2}\right)=\frac{P\left(E_1 \cap E_2\right)}{P\left(E_2\right)}\)…
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