Eliminating the aces and kings leaves 44 cards which result in success.
Once the 1st card is drawn the are only 33 cards which result in sucess.
Therefore, you can pick no king, no ace and dissimilar suits in 44 * 33 ways.
The total number of ways of picking 2 cards from the deck is 52 * 51
The probability is 44*33/(52*51)