Ex 13.2, 6 - If P(E) = 3/5, P(F) =  3/10. Are E, F independent - Ex 13.2

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.2, 6 Let E and F be events with P(E) = 3﷮5﷯ , P(F) = 3﷮10﷯ = and P (E ∩ F) = 1﷮5﷯ . Are E and F independent? Two events A & B are independent if P(A ∩ B) = P(A) . P(B) Given, P(E) = 3﷮5﷯ , P(F) = 3﷮10﷯ & P(E ∩ F) = 1﷮5﷯ Now, P(E) . P(F) = 3﷮5﷯ × 3﷮10﷯ = 9﷮50﷯ & P(E ∩ F) = 1﷮5﷯ = 10﷮50﷯ Since P(E ∩ F) ≠ P(E) . P(F) , Therefore, E and F are not independent events

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