Probability P(A and B)

A and B are two mutually exclusive and exhaustive events of a random experiment such that P(A)=6[P(B)]^(2) where P(A) and P(B) denotes probability of A and B respectively.Find P(A) and P(B)

Check whether the following probabilities P(A) and P(B) are consistently defined: P(A)=0.5,P(B)=0.7,P(A nn B)=0.6

Check whether the following probabilities P(A) and P(B) are consistently defined: P(A)=0.5,P(B)=0.4,P(A uu B)=0.8

Check whether the following probabilities P(A) and P(B) the consistently defined: (i) P(A)=0.5, P(B)=0.7, P(AnnB)=0.06 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

Check whether the following probabilities P(A) and P(B) the consistently defined: (i) P(A)=0.5, P(B)=0.7, P(AnnB)=0.06 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A)" "=" "0. 5 , P(B)" "=" "0. 7 , P(A nnB)" "=" "0. 6 (ii) P(A)" "=" "0. 5 , P(B)" "=" "0. 4 , P(A uuB)" "=" "0. 8

Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A)=0.5,P(B)=0.7, P(AnnB)=0.6 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

If probabilities A and B are two independent events then P( A nn bar B) + P( A)P( B ) = P(A) . State true of false.

Conditional probability P(A//B') is defined only when

Let A and B be two events, the probability that at least one of them occurs is 4/5 and the probability that A and B occur simultaneously is 1/4 , then P(A') + P(B') is equal to ____