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?

Events A and B are 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 ?

Events A and B are 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?

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?

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

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

If Aa n dB are two events such that P(A)>0a n d P(B)!=1, t h e nP( barA / barB ) is equal to (Here barAa n d barB are complements of Aa n dB , respectively. (a) 1-p(A/B) (b). 1-p(( barA )/B) (c). (1-p(AuuB))/(P( barB )) (d). (P( barA ))/(P(B))

If two events Aa n dB are such that P(A)=0. 3 ; P(B)=0. 4 ; P( barA nn barB )=0. 5 , then find the value of P(B//AuuB) .

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

Let A ,B ,C ,D be independent events such that P(A)=1//2,P(B)=1//3, P(C)=1//5, a n dP(D)=1//6. Then theprobability that none of A ,B ,C ,a n dD occurs a. 1//180 b. 1//45 c. 1//18 d. none of these

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 .