Show that if events A and B are independent, then so are `A^c` and `B^c`.

Prove that if A^c and B^c are independent, then are A and B?

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

Prove that if E and F are independent events, then so are the events E and F'.

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

If (A^C uu B^C) = 7/8 and (A^C nn B^C) = 3/8 where A and B are independent, then find P(A) and P(B).

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

Events Aa n dC are independent. If the probabilities relating A ,B ,a n dC are P(A)=1//5, P(B)=1//6; P(AnnC)=1//20 ; P(BuuC)=3//8. Then (a)events Ba n dC are independent (b)events Ba n dC are mutually exclusive events.(c) Ba n dC are neither independent nor mutually exclusive (d)events Ba n dC are equiprobable