JEE Mains · Maths · STD 12 - 13. probability
If \(A\) and \(B\) are two events such that \(P ( A )=\frac{1}{3}, P ( B )=\frac{1}{5} \) and \(P ( A \cup B )=\frac{1}{2}\), then \(P \left( A \mid B ^{\prime}\right)+ P \left( B \mid A ^{\prime}\right)\) is equal to
- A \(\frac{3}{4}\)
- B \(\frac{5}{8}\)
- C \(\frac{5}{4}\)
- D \(\frac{7}{8}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{8}\)
Step-by-step Solution
Detailed explanation
\(P(A)=\frac{1}{3}, P(B)=\frac{1}{5}\) and \(P(A \cup B)=\frac{1}{2}\) \(\therefore \quad P(A \cap B)=\frac{1}{3}+\frac{1}{5}-\frac{1}{2}=\frac{1}{30}\) Now,…
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