AP EAMCET · Maths · Probability
Suppose \(A\) and \(B\) are two events such that \(P(A \cap B)=\frac{3}{25}\) and \(P(B-A)=\frac{8}{25} . \quad\) Then, \(P(B)\) is equal to
- A \(\frac{11}{25}\)
- B \(\frac{3}{11}\)
- C \(\frac{1}{11}\)
- D \(\frac{9}{11}\)
Answer & Solution
Correct Answer
(A) \(\frac{11}{25}\)
Step-by-step Solution
Detailed explanation
Given, \(P(A \cap B)=\frac{3}{25}\) \(P(B-A)=\frac{8}{25}\) Then according to figure \(P(B)=P(A \cap B)+P(B-A)\) \(P(B)=\frac{3}{25}+\frac{8}{25} \quad \Rightarrow \quad P(B)=\frac{11}{25}\)
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