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

  1. Chapter 13 Class 12 Probability
  2. Serial order wise
Ask Download

Transcript

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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.