Blackjack table

Splitting aces against dealer 8 is standard blackjack strategy. Each ace has strong potential to make 21, and splitting maximizes the chance of winning against the dealer's moderately strong upcard.

With a hard 17 against dealer's Ace (likely 11), standing is correct. Hitting risks busting to dealer's strong upcard, while my 17 is a reasonable hand to win or push.

With a soft 16 (Ace-5) against dealer's 6, doubling down is the optimal play. The dealer's 6 is a weak upcard with high bust probability, and doubling gives us the best expected value in this favorable situation.

Player has 20 (Ten + King) against dealer's 10 upcard. This is a strong hand that wins against most dealer outcomes. Standing is correct basic strategy and maximizes expected value.

With 13 against dealer's 7, hitting is standard basic strategy. The dealer's 7 is a strong upcard (likely 17), so I need to improve my hand. Standing on 13 would put me in a weak position against the dealer's likely 17.

With a hard 15 against dealer's 7, hitting is the mathematically correct play. The dealer's 7 is a moderate strength upcard, and my 15 is likely to lose on a stand. The probability of busting on the next hit (with a 16-deck composition) is about 54%, but standing gives the dealer a high probability of making 17-21, making hitting the better expected value play.

With a hard 17 against dealer's Jack (10-value card), standing is correct. Dealer shows strength but has 40% bust probability; hitting risks busting on any card 5 or higher, making stand the optimal play.

With a hard 20 against dealer's 7, standing is optimal. This is a very strong hand that wins the majority of dealer outcomes (dealer must achieve 21), and hitting risks busting while doubling adds unnecessary risk with minimal upside.

With a hard total of 6 against dealer's King (10-value card), hitting is the correct basic strategy play. The dealer has a strong upcard, so I need to improve my hand to compete.

With a hard 11 against dealer's King (10-value), hitting is the mathematically optimal play. An 11 is too weak to stand against a strong dealer upcard, and doubling is not allowed in this position. Hitting offers the best chance to improve the hand value.

With a hard 20 against dealer's King upcard, standing is the optimal play. The hand is already very strong and hitting risks busting, while the dealer's likely stiff total (if King is not already 10+) is unlikely to beat 20.

I have 17 against dealer's 3 (weak upcard). Standing is optimal here—hitting a hard 17 risks busting while the dealer is likely to bust from their weak position.

With a hard 20 against the dealer's 3, standing is the optimal play. A 20 is a very strong hand that wins against most dealer upcards, and the risk of busting on a hit far outweighs any potential gain.

With 12 against dealer's Queen (10-value), hitting is the correct basic strategy play. Standing would leave me with a stiff hand that loses to most dealer outcomes, while hitting gives me a better chance to improve the hand.

With a hard 9 against dealer's 2 (weak upcard), doubling down is optimal. The dealer's 2-6 are weak cards that bust frequently, and my 9 has strong potential to reach 19-21 with a single additional card.

With 15 against dealer's 7, standing is optimal. The dealer's 7 is a strong card, but hitting 15 risks busting (any card 7+ busts), and basic strategy recommends standing in this spot to let the dealer potentially bust.

With a soft 13 (Ace-2) against dealer's 2, hitting is the correct play. A soft hand cannot bust on the next card, and we need to improve to a competitive total. Doubling would be premature with such a weak starting total.

With a soft 15 (Ace-2-2) against dealer's 2, hitting is optimal. The soft hand allows us to improve without busting risk, and a 2 is a weak dealer upcard that suggests aggressive play.

With a soft 17 (Ace-2-2-2) against dealer's 2, standing is optimal. The dealer has a weak upcard but a soft 17 should not be hit as the risk of busting or reaching an unfavorable total outweighs potential gains.

With a hard 13 against the dealer's 8 (strong upcard), hitting is the optimal play. Standing on 13 gives a poor win probability, while hitting despite the bust risk is mathematically superior in this situation.

With a hard 17 against dealer's 8, standing is the correct basic strategy play. Hitting risks busting (any card 5+ busts), while the dealer's 8 upcard gives reasonable probability of busting if they draw additional cards.

With 14 against dealer's Jack (10-value), hitting is the mathematically correct play. Standing on 14 loses to any dealer 15-21, while hitting gives a chance to improve; the bust risk (cards 8+ bust) is acceptable given the weak starting position.

Player has 15 (5+9+A) against dealer's Jack upcard. Basic strategy dictates hitting 15 against a 10-value card, as the dealer's strong upcard makes standing on 15 too risky; the probability of improving or busting is favorable compared to the dealer likely having 17-20.

With 15 against dealer's 5 (a weak upcard), standing is optimal. The dealer is likely to bust, and hitting risks busting myself with a high probability given the remaining deck composition.

With 13 against dealer's 4 (a bust card), basic strategy calls for hitting. The dealer's weak upcard means we should be aggressive with stiff hands like 13 to try to improve before the dealer busts.