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Consider the following relations for two events E and F : array ll 1. & P(E F) P(E)+P(F)-1 2. & P(E F)=P(E)+P(F)+P(E F) 3. & P(E F) P(E)+P(F) array Which of the above relations is/are correct?

Options

  1. A1 only
  2. B3 only
  3. C1 and 3 only
  4. D1, 2 and 3

Correct answer

C. 1 and 3 only

Step-by-step solution

Here P(E F)=P(E)+P(F)-P(E F) We know 0 P ( E F ) 1 P(E)+P(F)-P(E I F) 1 1+P(E I F) P ( E )+ P ( F ) P ( E F ) P ( E )+ P ( F )-1 Again, P(E F)=P(E)+P(F)-P(E I F) P ( E F )+ P ( E F )= P ( E )+ P ( F ) P ( E )+ P ( F )= P ( E F )+ P ( E F ) P ( E )+ P ( F ) P ( E F ) Hence Relations (1) and (3) are correct.

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