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

If A^c and B^c are two independent events, then show that A and B are also independent.

If A, B and C are mutually independent events, prove that the events (A cup B) and C are also independent events.

If A and B are independent events, then P(A/B^C) = …………..

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

If the events A^C and B^C are independent then show that A and B are independent.

Each of the following question contain two statements- Statemnet I and statement II. Each of the questions has following four choice A,B,C and D only one of which is correct. Statement- I: If A,B,C the three mutually independent events, then A and B cup C are also independent events. Statement- II: Two evetns A and B are independent if and only if P(AcapB)= P(A).P(B)

If A and B are two independent events, the probability that both A and B occur is 1/8 are the probability that neither of them occours is 3/8. Find the probaility of the occurrence of A.

If A and B are two independent events, prove that P(AuuB).P(A'nnB')<=P(C) , where C is an event defined that exactly one of A and B occurs.

If A and B are two independent events, prove that the events (a) a^(c ) and B^(c ) (b) A^(c ) and B (c ) A and B^(c ) are also independent.

If events A and B are independent, then so are A^c and B?