The letters A, B, C, D, E, and F are written on six different ping pong balls and put into a bag. The letters H, I, J, and K are written on another four different ping pong balls and put into a second bag. Then the letters O, P, Q, R, S, T, and U are written on another seven different ping pong balls and put into a third bag. If one ping pong ball is randomly selected from each of the three bags, what is the probability that at least one vowel (A, E, I, O, U) is selected?