Pairwise and mutually independent events

If A,B and C are mutually independent events then prove that A uu B and C are also independent

Dependent and independent events

If A,B,C be three mutually independent events,then A and B uu C are also independent events.Statement 2: Two events A and B are independent if and only if P(A nn B)=P(A)P(B)

If A and B are two events such that P(A)=1/2, P(AuuB)=3/5 and P(B)=p , then find the value of p when: (i) A and B are mutually exclusive (ii) A and B are independent events.

Suppose A and B are two events with P(A)=0.5 and P(A uu B)=0.8. Let P(B)=p if A and B are mutually exclusive and P(B)=q if A and B are independent events,then the value of q/p is

Suppose A and B are two events with P(A) = 0.5 and P(AuuB)=0.8LetP(B)=p if A and B are mutually exclusive and P(B)=q if A and B are independent events, then value of q/p is ____.

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 E and F are two independent events then prove that E and F' are also independent events.

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