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GUJCET · Maths · Probability
If A and B are mutually exclusive events. \(P ( A )=\frac{1}{2}, P ( A \cup B )=\frac{3}{5}\) and \(P \left( B ^{\prime}\right)=p\) then, \(p=\) _________ .
- A \(\frac{1}{5}\)
- B \(\frac{2}{5}\)
- C \(\frac{9}{10}\)
- D \(\frac{1}{10}\)
Answer & Solution
Correct Answer
(C) \(\frac{9}{10}\)
Step-by-step Solution
Detailed explanation
\(P(A \cup B) = P(A) + P(B)\) \(\frac{3}{5} = \frac{1}{2} + P(B)\)
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