Two ways to do it: (1) The formula way and (2) the Venn Diagram-Algebra way ------------------------------------ (1) The formula way: P(T' and G') =By DeMorgan's law, T' and G' = (T or G)' , so P[(T or G)'] = P(T or G) = 1 - = - = P(T or G) = P(T) + P(G) - P(T and G) = + - P(T and G) P(T and G) = + - P(T and G) = --------------------------------- (2) the Venn Diagram-Algebra way We have the system of equations: x + y = 14 y + z = 16 x + y + z + 3 = 25 Solve that and get x = 6, y = 8, z = 8 So we have: The one that play tennis and golf are in this part of the Venn diagram, because it's part of both T and G: That's 8 out of 25 which is Edwin