If A and B are independent events only associated with a random experiment; then prove that (`barA` and B); (A and `barB`); (`barA` and `barB`) are also independent events.

If A and B are two independent events, prove that A^C and B are also independent events.

IF A and B are independent events of a random experiment such that P( A nn B) = (1)/(6) and P(barA nn barB) = (1)/(3) , then P(A) is equal to

Consider the following statements : if A and B are independent events, then 1. A and bar(B) are independent. 2. barA and B are independent. 3. barA and barB are independent. Which of the above statements is/are correct ?

A and B are two events associated with random experiment for which (P(A)=0.36 P(A uuB)=0.90 and P(A nn B)=0.25 . Find (i) P(B), (ii) P( barA nn barB)

If A and B are independent events, then Prove that P(A)=P(AcapB) + P(Acap barB)

If A and B are independent events, then Prove that P(AcupB)=P(Acap B)+ P(Acap barB)+ P(barA capB)

If barA and barB are the events complementary to the events A and B respectively, prove that, P(barA or barB)=1-P(A)P(B//A) .