Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:
If \(P(A \cap B)=\frac{1}{2}, P(\bar{A}\cap \bar{B})=\frac{1}{3},P(A)=x\) and \(P(B)=2x\), then the value of \(x\) is
Options:
\(\frac{1}{2}\)
\(\frac{4}{9}\)
\(\frac{3}{2}\)
\(\frac{7}{18}\)
Correct Answer:
\(\frac{7}{18}\)
Explanation:
\(P(A\cap B)=P(A)+P(B)-P(A \cap B)\)