If `P(A//B)=P(A//B ')` , then prove that `Aa n dB` are independent.

If A and B are two events such that P(A uu B) = 0.7, P(A nn B) = 0.2, and P(B) = 0.5 , then show that A and B are independent.

P(AcupB)=0.6,P(A)=0.2, find P(B) given that A and B are independent:

If A and B are two events such that P(A cup B)=(5)/(6),P(A cap B)=(1)/(3), P(barB)=(1)/(2) show that A and B are independent.

Events Aa n dB are such that P(A)=1//2, P(B)=7//12 , a n dP(notAornotB)=1//4. State whether Aa n dB are independents?

Let Aa n dB be two events. Suppose P(A)=0. 4 ,P(B)=p ,a n dP(AuuB)=0. 7. The value of p for which Aa n dB are independent is a. 1//3 b. 1//4 c. 1//2 d. 1//5

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

If A and B are two events such that P(A)=1/2 , P(B) =7/(12) and P(not A or not B) = 1/4 . State whether A and B are independent?

Let Aa n dB be two independent events. Statement 1: If P(A)=0. 4a n dP(Auu barB )=0. 9 ,t h e nP(B)i s1//6. Statement 2: If Aa n dB are independent, then P(AnnB)=P(A)P(B)dot .

If P(A) =(3)/(5) and P (B)=(1)/(5) find P(A cap B) if A and B are independent events.