Dependent and independent events

Venn diagram || General addition theorem || Independent & Dependent events , Questions( Q 14 to Q 26)

Questions on independent & dependend events || Three events

Venn Diagram || General Addition Theorem || Independent & Dependent Events || Questions( Q 14 to Q 26)

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

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

Dependent And Independent Variables

If A' , B' are complementary events of two independent events A, B, then P(Acup B) =

Suppose that all the four possible outcomes e_1 , e_2 , e_3 , e_4 of an experiment are equally likely. Define the events A, B, C as A = (e_1, e_4) , B = (e_2, e_4) . What can you say about the dependence or independence of events A, B, C?

If A,B,C are independent events, shows that AcupBandC are also a independent events.

If A and B are two independent events, then Prove that A and B^' are independent events.