AP EAMCET · Maths · Probability
If \(A, B\) and \(C\) are mutually exclusive and exhaustive events of a random experiment such that \(P(B)=\frac{3}{2} P(A)\) and \(P(C)=\frac{1}{2} P(B)\), then \(P(A \cup C)\) equals to
- A \(\frac{10}{13}\)
- B \(\frac{3}{13}\)
- C \(\frac{6}{13}\)
- D \(\frac{7}{13}\)
Answer & Solution
Correct Answer
(D) \(\frac{7}{13}\)
Step-by-step Solution
Detailed explanation
Given, \(\quad P(B)=\frac{3}{2} P(A)\) and \[ P(C)=\frac{1}{2} P(B) \] Since, \(A, B\) and \(C\) are exclusive events.…
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