Blackjack table

With 7 (3+4) against dealer's 10-value card, hitting is the optimal play. This is a stiff hand well below 17, and the dealer is in a strong position; I need to improve significantly.

With a hard 15 against dealer's 10-value card (Jack), hitting is the correct basic strategy play. Standing on 15 gives roughly 42% win probability against a 10, while hitting offers better expected value despite the bust risk.

Splitting Aces against a dealer 2 is standard blackjack strategy. Each Ace can develop into 21, and splitting maximizes win potential against the dealer's weak upcard.

With 13 against dealer's 5, hitting is the optimal play. The dealer's 5 is a weak upcard, but my 13 is too weak to stand—I need to improve my hand. Basic strategy calls for hitting 13 against 5, as the probability of busting (38%) is outweighed by the need to reach a stronger total.

With a hard 14 against dealer's 5 (a weak upcard), basic strategy dictates hitting. The dealer's 5 is likely to bust, but my 14 is too weak to stand on and risks losing if the dealer makes a hand.

I have 18 (J-3-A-4), which is a strong hand. Against the dealer's 5 (a weak upcard), standing is optimal since the dealer will likely bust. Hitting risks busting or reducing my winning margin.

With a soft 19 (Ace-8) against dealer's 3, standing is optimal. The hand is very strong, and hitting risks busting or getting a weaker total, while the dealer's weak upcard (3) makes it likely they'll bust or get a lower total.

With a hard 13 against dealer's 6 (a bust card), standing is optimal. The dealer has a 42% bust probability from this upcard, making it better to avoid the risk of busting myself with a hit.

With a hard 14 against the dealer's 10-value card (Jack), hitting is the correct basic strategy play. The dealer's Jack is a strong upcard, and standing on 14 gives a very low win probability, so we must take the risk of hitting to try to improve the hand.

With a hard 17 against dealer's 9, standing is the correct basic strategy play. Hitting risks busting (any card 5 or higher busts), while doubling down with 17 is mathematically unfavorable against a dealer's strong upcard.

With a hard 14 against dealer's 5 (a weak up card), standing is the mathematically optimal play. The dealer has a high bust probability from this position, and hitting my 14 risks busting while giving up the dealer's favorable position.

With 15 against dealer's 9, hitting is standard basic strategy. The dealer's 9 is a strong card (likely 19), making standing with 15 too weak. Doubling risks losing twice the bet on a poor total.

With a hard 20 against the dealer's 9, standing is the optimal play. The probability of improving with a hit is minimal while the risk of busting is substantial, and 20 is a very strong hand that wins against most dealer outcomes.

With a hard 15 against dealer's 8, hitting is the mathematically optimal play. A hard 15 is a weak hand, and the dealer's 8 upcard (suggesting a total of 18 if they hit optimally) requires aggressive action. Doubling would risk extra chips on a marginal hand, while standing leaves us with an expected loss. Hitting improves our position when the dealer is showing strength.

With a hard 20 against dealer's 8, standing is the correct play. This is one of the strongest possible hands, and the dealer's 8 is a relatively weak upcard. The probability of improving by hitting is minimal while the risk of busting is significant.

With a hard 20 against the dealer's 2, standing is the optimal play. A 20 is a very strong hand, and the dealer's weak upcard (2) means they're likely to bust or achieve a lower total. Hitting or doubling would only risk busting or achieving an inferior outcome.

With a hard 20 against the dealer's 2 (weak upcard), standing is optimal. The probability of improving is minimal while the risk of busting on a hit is high.

With a hard 12 against the dealer's 10 (Jack), hitting is the optimal play. A hard 12 is a weak hand, and standing would give the dealer a high probability of winning. Hitting gives us a chance to improve to 13-16 (if we catch a 1-4), and many cards help us without busting (1-4, 6-9).

With a hard 17 against dealer's Jack (10-value card), standing is the correct play. Hitting would bust on any card 5 or higher (8 out of 13 possible cards), making the risk too high. The dealer must hit on soft 17 and busts frequently, so let the dealer play first.

With a hard 19 against dealer's 6 (a weak upcard), standing is optimal. Dealer 6 busts frequently, and hitting or doubling risks busting a strong hand.

Holding A-2 (soft 13) against dealer's 6 is a favorable spot. Basic strategy calls for hitting soft 13-17 against dealer's weak upcard (6), as doubling is suboptimal and standing leaves us in a poor position. The dealer's bust probability is high, so we want to improve our hand first.

With a soft 14 (Ace-2-Ace) against dealer's 6, hitting is optimal. The Ace can be counted as 1 or 11, giving flexibility. Dealer's 6 is a weak upcard, but my hand needs improvement and risk of bust is minimal due to the soft total.

With a hard 14 against dealer's 6 (a weak upcard), hitting is correct basic strategy. The dealer's 6 is likely to bust, but my 14 is too weak to stand on, and the risk of busting is worth taking to improve my hand.

With a hard 17 against the dealer's 10, standing is correct basic strategy. Hitting risks busting (any card 5+ busts), while standing gives a reasonable chance the dealer will bust or tie.

With a hard 17 against dealer's 10, standing is optimal. Doubling risks busting or getting a worse outcome; hitting a hard 17 is mathematically poor due to high bust probability.

Splitting a pair of 6s against a dealer 7 is the mathematically optimal play. A 12 is a weak hand that busts easily, but splitting gives us two chances to make stronger hands (aiming for 16-17 or better) while reducing bust risk on each individual hand.

With a hard 8 against dealer's 7 upcard, hitting is the mathematically correct play. The dealer likely has 17 and will stand, so I need to improve my hand. Doubling would lock in an unfavorable situation.

With a hard 16 against dealer's 7, hitting is the mathematically correct play. A hard 16 loses more often than it wins, so taking another card to improve the hand is optimal, as busting is likely a smaller risk than standing with such a weak total.

Hand 0 has 17 (6-2-8-A), which is a strong total against dealer's 7. Hitting risks busting or reaching a worse outcome. Standing is the correct basic strategy play here.

Splitting 6-6 against dealer 7 is standard blackjack strategy. A pair of 6s totals 12, which is a weak hand; splitting gives two chances to improve to 16-20 while keeping both hands viable against the dealer's likely 17.

Hand 1 is a soft 17 (6+Ace) against dealer's 7. Doubling soft 17 is not standard strategy; standing preserves the current position while the dealer must hit on soft 17 per the rules (dealer hits soft 17 is false means dealer stands, so dealer stands on 17). My soft 17 ties or wins against most dealer outcomes.

With a hard 16 against dealer's 7, standing is the correct basic strategy play. The dealer's 7 upcard is a stiff card (likely bust), and hitting would bust on any card 6 or higher. Basic strategy indicates standing on hard 16 vs dealer 7.

With a soft 16 (5-Ace) against the dealer's Ace, standing is optimal. The dealer likely has blackjack (checking for it), and hitting risks busting or worsening the hand, while doubling offers poor expected value given the unfavorable position.

With a hard 13 against dealer's Queen (value 10), hitting is the mathematically optimal play. Standing leaves us with a weak hand that loses to most dealer outcomes, while hitting gives us a chance to improve to 17-21, which beats the dealer's likely 17-20.

With a hard 14 against dealer's Queen (10-value), hitting is the mathematically correct play. Standing on 14 loses to any dealer 15-21, while hitting gives a chance to improve to 17+. The bust risk (4 cards out of 13 available ranks) is acceptable given the win probability from hitting.