[Paul2432]

I'll give a helpful response.

Each of the 52 cards in the deck can combine with any of the other 51 cards to form a starting hand. Hence there are 52*51=2652 starting hands. However, the order of the cards does not matter (7c6h is the same hand as 6h7c) so this number should be divided by two giving us 1326 starting hands.

Each pair can be made in six different ways. For example a pair of aces can be made by AsAh, AsAd, AsAc, AhAd, AhAc, AdAc.

Each suited connector or suited ace can be made in four different ways. One for each suit.

Finally each off suited hand can be made in twelve ways. (each of the four suits can combine with three other suits).

So going back to the list of hands to play.

Any pair: 13 pairs x 6 each = 78 hands
Any ace-suited: 12 hands x 4 each = 48 hands
Any AKo: 12 hands
Suited Connectors 54s to KQs: 9 hands x 4 each = 36 hands

Total hands = 78 + 48 + 12 + 36 = 174 hands

174/1326 = 13 27/221% = ~13.122%

Paul