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GUJCET · Maths · Probability

Two events E and F are independent. If \(P ( E )=\frac{3}{5}\) and \(P ( F )=\frac{3}{10}\) then \(P \left( E ^{\prime} / F \right)+ P \left( F ^{\prime} / E \right)=\) ___________ .

  1. A \(\frac{1}{10}\)
  2. B \(\frac{11}{10}\)
  3. C \(\frac{9}{10}\)
  4. D \(\frac{10}{11}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{11}{10}\)

Step-by-step Solution

Detailed explanation

\(P(E') = 1 - P(E) = 1 - \frac{3}{5} = \frac{2}{5}\) \(P(F') = 1 - P(F) = 1 - \frac{3}{10} = \frac{7}{10}\)