HI; Just need to check if this is correct,Whats the probability of A given B?

P(A) = 1/2

P(B) = 1/2

P(A|B) =P(A∩B) / P(B).

P(A∩B) = P(A) + P(B) -P(A∪B).

= 3/6 + 3/6 – 4/6.

= 6/6 - 4/6.= 2/6 = 1/3.

P(A|B) 1/3 / 3/6 = 1/3 * 6/3 = 6/9.

= 2/3.

Thanks.