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GUJCET · Maths · Probability

જો \(P(A)=\frac{6}{11}, P(B)=\frac{5}{11}\) અને \(P(A \cup B)=\frac{7}{11}\) હોય, તો \(P ( A \mid B )=\) __________ .

  1. A \(\frac{4}{5}\)
  2. B \(\frac{4}{11}\)
  3. C \(\frac{2}{3}\)
  4. D \(\frac{2}{11}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{4}{5}\)

Step-by-step Solution

Detailed explanation

\(P(A \cap B) = P(A) + P(B) - P(A \cup B)\) \(P(A \cap B) = \frac{6}{11} + \frac{5}{11} - \frac{7}{11} = \frac{11 - 7}{11} = \frac{4}{11}\)
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