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GUJCET · Maths · Probability

બે ઘટનાઓ A અને B માટે \(P ( A )=\frac{5}{11}, P ( B )=\frac{2}{11}\) અને \(P(A \cup B)=\frac{3}{11}\) હોય તો \(P \left( A ^{\prime} \mid B ^{\prime}\right)=\) __________.

  1. A \(\frac{1}{2}\)
  2. B \(\frac{8}{9}\)
  3. C \(\frac{3}{5}\)
  4. D \(\frac{2}{9}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{8}{9}\)

Step-by-step Solution

Detailed explanation

\(P(A' \cap B') = 1 - P(A \cup B)\) \(P(A' \cap B') = 1 - \frac{3}{11} = \frac{8}{11}\)