Basic Strategy
n2peppers said:
I am new to the game, but very dedicated to learning the ins and outs. I recently sat at a table with one of those semi-obnoxious individuals that sigh heavy or shakes his head every time someone plays their hand differently than he would. For instance, one player had a 15 showing and did not take a hit, the obnoxious fellow said :"You are crazy, do you know how many cards will improve that hand?" And then rattled off a number. My question is: "Is there a chart that has such number available, based on a full deck or full six decks? If so, where can I locate it? Thank you for your patience. PK
Assuming we don't know the composition of the 15:
Single Deck: Five cards will improve a 15 (6, 5, 4, 3, or 2). There are 4 suits of each of those cards for a total of 5 x 4 = 20 cards. So of the 52 cards in the deck, 20 cards will improve that hand.
Six Deck: There are 20 cards per deck that will improve the 15. So of the 312 (52 x 6) cards in the shoe, 20 x 6 = 120 cards will improve the 15.
[I would argue that an Ace doesn't improve your hand because neither a 16 nor a 15 will beat any dealer hand that does not bust.]
I do not know of anyone who has created charts to answer your question, but as qfit and thunder suggested, the answer to the question is not very useful. The most important question is: Will I make more money (lose less money) by standing or hitting with 15? Assuming the dealer had a 7 or better showing, basic strategy will tell you that the answer to that question is "hitting."
So if you are new to the game, but dedicated to learning it thoroughly, start by learning basic strategy.