AP EAMCET · Maths · Probability
If \(A\) and \(B\) are events of a random experiment such that \(P(A \cup B)=\frac{4}{5}, P(\bar{A} \cup \bar{B})=\frac{7}{10}\) and \(P(B)=\frac{2}{5}\), then \(P(A)\) equals
- A \(\frac{9}{10}\)
- B \(\frac{8}{10}\)
- C \(\frac{7}{10}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{7}{10}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Given, } P(\bar{A} \cup \bar{B})=P(\overline{A \cap B})=\frac{7}{10} \\ & \text { Since, } P(A \cap B)+P(\overline{A \cap B})=1\end{aligned}\)…
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