Blackjack table

With a hard 13 against dealer's King (10-value), hitting is the optimal basic strategy play. The dealer's upcard is very strong, so standing on 13 is too weak; hitting gives a better chance to improve the hand.

With a hard 14 against the dealer's King (10-value card), hitting is the correct basic strategy play. Standing would give the dealer a strong chance to win, as the dealer's upcard suggests a strong hand. The risk of busting is acceptable given the dealer's favorable position.

With a hard 18 against the dealer's King upcard, standing is the correct play. Hard 18 beats most dealer hands and only loses to dealer 19, 20, or 21; hitting risks busting with a 23.5% chance of drawing cards 8 or higher.

With 16 against dealer's 10, standing is optimal. Hitting 16 against a 10 loses more often than not (dealer likely has 17-20), and doubling down would only increase losses. Basic strategy recommends standing here despite the unfavorable situation.

With 13 against dealer's Ace, hitting is the mathematically optimal play. The dealer shows strength but hits soft 17, so I need to improve my hand. Standing on 13 loses to most dealer outcomes.

I have a hard 18 against the dealer's Ace. Standing is correct here because my hand value is already strong, and the risk of busting by hitting outweighs the small probability of improvement.

With a hard 11 against dealer's weak upcard (6), doubling down is the mathematically optimal play. The dealer's 6 is a bust card, and my 11 has excellent potential to reach 19-21 with a single card draw.

With 16 against dealer's 2, hitting is optimal. While 2 is a weak upcard, basic strategy dictates hitting 16 against any dealer card 2-6 to improve the hand, as standing on 16 loses more often than hitting in the long run.

With a hand total of 20 against the dealer's weak upcard of 2, standing is the optimal play. This is a very strong hand that wins against most dealer outcomes, and the risk of busting on a hit far outweighs any potential benefit.

With 14 against dealer's 3, hitting is optimal. The dealer's weak upcard (3) suggests they may bust, but my 14 is too weak to stand on; I should draw to improve or bust trying, as standing on 14 gives me a losing hand in most scenarios.

With a hard 20 (J-4-6) against dealer's 3, standing is optimal. This is a strong hand that beats most dealer outcomes, and hitting risks busting with no meaningful upside.

With a hard 19 against dealer's 4 (a weak upcard), standing is the mathematically optimal play. The dealer's 4 is a bust card, making this a high-probability win without risking the hand.

With 16 against dealer's 2 (a bust card), doubling down is optimal. The dealer is likely to bust, and doubling maximizes expected value when dealer shows weak upcard.

With a hard 14 against dealer's 10, hitting is the correct play. Standing would lose most of the time since the dealer likely has 20 or will draw to it. The bust risk (30%) on this hand is acceptable given the high probability of losing if we stand.

With a hard 7 against dealer's 8, doubling is the mathematically optimal play. The dealer shows a mid-range card, and doubling down maximizes expected value on this weak starting hand.

With a soft 15 (Ace-4) against dealer's Queen (10-value), doubling is optimal. The Ace can count as 11, and hitting gives us many ways to improve (any card 6 or higher helps significantly), while the dealer's 10-value upcard suggests a strong hand. Doubling maximizes expected value in this favorable situation.

With a hard 20 (King-Ten) against dealer's 3, standing is the optimal play. A 20 is an excellent hand and the dealer's weak upcard makes it unlikely they improve, so taking the 80% win rate is better than risking a bust or worse outcome.

With a hard 11 against dealer's King, doubling is the mathematically optimal play. This hand totals 11 and has excellent potential for a strong draw (any 10 or face card gives 21), while the dealer's King is a strong upcard but not unbeatable.

With a hard 19 against dealer's King (10-value card), standing is the optimal play. A 19 is a strong hand that wins against most dealer outcomes, and hitting risks busting with minimal upside.

With 14 against dealer's 10-value card, hitting is the mathematically correct play. Standing would leave me with a weak hand that loses to most dealer totals, while hitting gives me a chance to improve to 17+ or bust trying.

Hard 17 versus dealer 10-value card is a close decision, but standing is the mathematically correct play. Hitting risks busting (any card 5 or higher busts), and the dealer's 10 will likely make 17-21, so standing gives the best expected value.

I have 18 (10+8), which is a strong hand. The dealer shows a 10, which is strong but I'm already ahead in value. Doubling down would risk too much for marginal gain, and hitting exposes me to busting. Standing is the correct play.

With a hard 17 against dealer's 8, standing is the correct play. While doubling is technically legal, the risk of busting (any card above 4) far outweighs the potential gain, and 17 is a reasonably strong total that wins against many dealer outcomes.

With a hard 11 against dealer's 10-value card, doubling down maximizes expected value. A hard 11 will improve on any card except a 10-value (which busts), and doubling captures the favorable odds when the deck is still relatively rich.

With a hard 7 against dealer's 10, hitting is the correct basic strategy play. The hand is too weak to stand, and doubling 7 is not standard against a strong dealer upcard.

I have a soft 18 (Ace-4-3) against dealer's 10 upcard. Standing on 18 is correct basic strategy; hitting risks busting or ending up with a weaker hand, while the dealer must draw to 17 and likely bust or tie.