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

If P(A//B)=P(A//B ') , then prove that A and B are independent.

If P(A//B)=P(A//B ') , then prove that A and B are independent.

If P(A/B)=P(A/B'), then prove that A and B are independent.

If P(B/A)=P(B/(A ')) , then prove that A and B are independent.

For events A and B if P(A) = (1)/(4), P(B)=(1)/(3) and P(A cup B)= (1)/(2) then prove that A and B are independent events.

If P(A)= (1)/(4), P(B)= (1)/(3) and P(A U B)= (1)/(2) , prove that A and B are independent events

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

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

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