Hi, Can someone help me out? I just want to make sure i'm right since the solution doesn't spell out each step....

As far as my understanding p(a | b) = [p(a /\ b)]/ p(b)

but, i'm looking at problems that have

p(a /\ b /\ c | p(a /\ b) = [p(a /\ b /\ c)] / p(a /\ b)

or

p(a V b V c | p(a V b) = [p(a V b V c)] / p(a V b)

is this because of the identity law? no need to include p(a /\ b) in the numerator because they are already included in the first clause? in other words,

p(a /\ b /\ c)] /\ p(a /\ b) is redundant and can be reduced to p(a /\ b /\ c) -as is the same for p(a V b V c) /\ p(a V b V c) ?

Can someone confirm this? just wanna make sure i'm not misunderstanding the solution step... thanks!