TS EAMCET · Maths · Probability
Let \(X\) and \(Y\) be two events of a sample space such that \(P(X)=\frac{1}{3}, P(X / Y)=\frac{1}{2}\) and \(P(Y / X)=\frac{2}{5}\) then
- A \(P(X \cap Y)=\frac{1}{5}\)
- B \(P(X \cup Y)=\frac{2}{5}\)
- C \(P(Y)=\frac{1}{6}\)
- D \(\frac{5}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{4}\)
Step-by-step Solution
Detailed explanation
We have, \(P(X)=\frac{1}{3}, P(X / Y)=\frac{1}{2}\) and \(P(Y / X)=\frac{2}{5}\) Now, \(\quad P(Y / X)=\frac{2}{5}\)…
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