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Suppose E and F are two independent events of a random experiment. If the probability of occurrence of E is 1 5 and the probability of occurrence of F given E has already occurred is 1 10 , then the probability of non-occurrence of at least one of the events E and F is

Options

  1. A1 18
  2. B1 2
  3. C49 50
  4. D1 50

Correct answer

C. 49 50

Step-by-step solution

Probability of occurrence of both events, P E ∩ F = P E P F E = 1 5 . 1 10 = 1 50 Required probability = 1 - P E ∩ F = 1 - 1 50 = 49 50

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