Solve the given problem involving conditional probability

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Delta2 said:
Ehm, not so cheerful here, check your post #18 again, P(W) is the addition of those two.
Yes, i am aware that ##P(W)= \dfrac{4n-3}{n(n+1)}## is the addition given by

##P(X=B,Y=W) = \dfrac{3}{n} × \dfrac{3}{n+1}= \dfrac{9}{n(n+1)}##

and##P(X=W,Y=W) = \dfrac{n-3}{n} × \dfrac{4}{n+1}= \dfrac{4(n-3)}{n(n+1)}##

My post ##30## is correct.