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Questions Is there a best value to stay on so that I win the greatest percentage of games possible? If so, what is it? Edit: Is there an exact probability of winning that can be calculated for a given limit, independent of whatever the opponent does? (I haven't done probability & statistics since college). I'd be interested in seeing that as an answer to contrast it with my simulated results. Edit: Fixed bugs in my algorithm, updated result table. Background I've been playing a modified blackjack game with some rather annoying rule tweaks from the standard rules. I've italicized the rules that are different from the standard blackjack rules, as well as included the rules of blackjack for those not familiar. Modified Blackjack Rules Exactly two human players (dealer is irrelevant) Each player is dealt two cards face down Neither player _ever_ knows the value of _any_ of the opponent's cards Neither player knows the value of the opponent's hand until _both_ have finished the hand Goal is to come as close to score of 21 as possible. Outcomes: If player's A & B have identical score, game is a draw If player's A & B both have a score over 21 (a bust), game is a draw If player A's score is <= 21 and player B has busted, player A wins If player A's score is greater than player B's, and neither have busted, player A wins Otherwise, player A has lost (B has won). Cards are worth: Cards 2 through 10 are worth the corresponding amount of points Cards J, Q, K are worth 10 points Card Ace is worth 1 or 11 points Each player may request additional cards one at a time until: The player doesn't want any more (stay)<

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