Blackjack table

With a hard 14 against dealer's 9, hitting is the correct basic strategy play. The dealer's 9 is a strong card, and standing on 14 gives too high a bust probability for the dealer to make this a favorable stand situation.

With a hard 16 against dealer's 9, hitting is the mathematically optimal play. The dealer's 9 is a strong upcard that makes standing on 16 very risky, as the dealer will likely make 17 or better. Hitting gives the best chance to improve the hand.

With 11 against dealer's Ace, doubling down is optimal. This hard 11 has excellent doubling potential (can reach 21 with a 10-value card), and the dealer showing an Ace still makes this a favorable double despite the risk of dealer blackjack.

With Ace-5 (soft 16) against dealer's Queen, doubling is optimal. The soft hand allows risk-free doubling since I can't bust, while the dealer's 10-value card suggests weakness when hitting 16 doubles my winning chances significantly.

With 13 against dealer's 2 (weak upcard), basic strategy calls for hitting hard 13s. The dealer will likely bust, but my 13 is too weak to stand against any dealer card - hitting maximizes expected value.

With a soft 19 (Ace-8) against dealer's King, standing is the correct play. The hand is already strong, and the risk of busting with a hit outweighs the minimal benefit of improvement. Doubling would be greedy and expose us to unnecessary risk.

With a hard 15 against dealer's 7, standing is the optimal play. The dealer shows a 7 which is a stiff card (likely to bust if hitting), and hitting my 15 would give me a high probability of busting (any card 7+ busts). The correct basic strategy here is to stand and let the dealer's upcard work in my favor.

With 13 against dealer's 10, hitting is the mathematically correct play. A 13 is a stiff hand that loses most showdowns against a strong dealer upcard, so I need to improve it. Doubling would be too risky given the low likelihood of improving to a winning hand.

With a hard 19 against the dealer's 10 upcard, standing is optimal. The hand is strong and hitting risks busting; the dealer's 10 likely gives them 17-20, making 19 the best defensive position.

With a soft 19 (Ace-8), standing is the mathematically optimal play against a dealer Jack. This hand beats most dealer outcomes, and hitting risks busting or ending up with a worse total.

With 16 against dealer's Ace (which is very strong), standing is the correct play. Hitting 16 is statistically unfavorable, and doubling would compound the risk without sufficient upside given the dealer's likely blackjack or strong hand.

With 12 against dealer's 10, hitting is standard basic strategy. A 10-value card busts but we need to improve; standing 12 against a strong dealer upcard is the worst outcome statistically.

With a hard 14 against dealer's 2, hitting is standard blackjack strategy. The dealer's weak upcard (2) suggests standing is tempting, but 14 is a stiff hand that loses most showdowns; hitting gives a reasonable chance to improve to 17+ without high bust risk (only 4-card ranks bust: K, Q, J, 10).

With a hard 20 against the dealer's 5 (a weak upcard), standing is the optimal play. The probability of busting on a hit (40%) far outweighs any benefit, and 20 wins or pushes against most dealer outcomes.

With 15 against dealer's Queen (10-value), hitting is the mathematically correct play. Standing on 15 against a 10 is a weak position with high bust risk for the dealer unlikely; hitting gives a chance to improve to 16-21 while accepting the bust risk is necessary here.

With 15 against dealer's 9, hitting is the mathematically optimal play. Standing gives us only a ~25% win rate, while hitting provides better expected value despite the bust risk, as the dealer likely has 17-20.

With a hard 16 against dealer's 9 upcard, hitting is correct basic strategy. The dealer's 9 is strong, and standing on 16 gives only a ~25% win rate, while hitting improves equity despite bust risk.

Hard 9 vs dealer's 2 (weak upcard) is a classic double-down spot. Doubling increases expected value by capitalizing on the dealer's poor position while risking only one more bet unit.

With a hard 7 against dealer's 3, hitting is the correct basic strategy play. The dealer's weak upcard (3) makes doubling unnecessary since hitting offers better expected value with such a low hand total.

I have a soft 18 (A-4-3) against dealer's 3 upcard. This is a strong hand where hitting risks busting or only marginally improving. Standing on 18 against a weak dealer upcard (3) is the correct basic strategy play.

With a hard total of 20 against the dealer's 8 upcard, standing is the optimal play. This is a strong hand that beats most dealer outcomes, and hitting or doubling would only increase the risk of busting or reducing expected value.