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GUJCET · Maths · Probability

આપેલી ઘટનાઓ A અને B નિરપેક્ષ ઘટનાઓ હોય તથા \(P(A)\) \(=P, P(B)=\frac{1}{2}\) અને \(P(A \cup B)=\frac{3}{5}\) હોય, તો Pની કિંમત ________ મળે .

  1. A \(\frac{1}{5}\)
  2. B \(\frac{1}{10}\)
  3. C \(\frac{3}{5}\)
  4. D \(\frac{1}{3}\)
Verified Solution

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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