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GUJCET · Maths · Probability
Events A and B are independent events and \(P(A)=P, P(B)=\frac{1}{2}\) and \(P(A \cup B)=\frac{3}{5}\) then, value of \(P\) is _________ .
- A \(\frac{1}{5}\)
- B \(\frac{1}{10}\)
- C \(\frac{3}{5}\)
- D \(\frac{1}{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{5}\)
Step-by-step Solution
Detailed explanation
\( P(A \cup B) = P(A) + P(B) - P(A)P(B) \) \( \frac{3}{5} = P + \frac{1}{2} - P \left( \frac{1}{2} \right) \)
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