Example 13 - Prove that if E, F are independent, so are E, F' - Examples

  1. Chapter 13 Class 12 Probability
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Example 13 Prove that if E and F are independent events, then so are the events E and F . Two events A and B are independent if P(A B) = P(A) . P(B) Now, P(E F ) = P(E and not F) = P(E) P(E F) = P(E) P(E) . P(F) = P(E) ( 1 P(F)) ) = P(E) . P(F ) Since P(E F ) = P(E) . P(F ) Therefore, the events E & F are independent, if E & F are independent

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