Question 1188653
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The total number of tiles is   A + B + C = 2 + 3 + 4 = 9.


When you draw first tile and then replace it, you return everything to the original state.   THEREFORE


P(A and A) = {{{(2/9)*(2/9)}}} = {{{4/81}}}.


P(A and B) = {{{(2/9)*(3/9)}}} = {{{2/27}}}.


P(C and C) = {{{(4/9)*(4/9)}}} = {{{16/81}}}.


P(B and C) = {{{(3/9)*(4/9)}}} = {{{4/27}}}.


P(B and B) = {{{(3/9)*(3/9)}}} = {{{1/9)}}}.
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Solved.