Blackjack table

With 14 against dealer's Jack (10-value), hitting is the optimal play. Standing leaves me with a weak hand that loses to most dealer outcomes. The probability of busting with a 10-value card is only 38%, while standing results in a high bust probability for dealer outcomes that still beat 14.

With a hard 16 against dealer's 10-value card (Jack), hitting is the mathematically optimal play. A 16 is a stiff hand that will likely lose against a strong dealer upcard; hitting offers the best chance to improve or reach a competitive total.

With a hard 17 against dealer's Jack (10-value card showing), standing is the optimal play. Hitting a hard 17 has negative expected value since the probability of busting (any card 5 or higher) significantly outweighs the small chance of improving to 18 or 19.

Hard 17 versus dealer 6 is a classic stand situation. The dealer's 6 is a weak upcard with high bust probability, and standing on 17 avoids the risk of busting while letting dealer bust frequency work in my favor.

With a hard 13 against dealer's 3 (a weak upcard), standing is optimal. Dealer's 3 is a bust card, and hitting risks busting immediately. Basic strategy indicates standing on 13+ against dealer 3.

With a hard 5 against dealer's 2 (weak upcard), hitting is standard basic strategy. The hand has significant room to improve without busting risk, and doubling would be wasteful with such a poor starting total.

With a hard 7 against dealer's 2 (weak upcard), hitting is the mathematically optimal play. A 7 requires significant improvement and busting is unlikely with a 7-total hand; hitting maximizes expected value.

With 12 against dealer's 2 (bust card), hitting is optimal. Dealer likely busts from this weak upcard, but standing on 12 loses to any dealer 12-16. Hit to improve or let dealer bust.

With a hard 16 against dealer's 2 (weak upcard), standing is optimal. The dealer's 2 is a bust card, and hitting would likely bust my hand given the stiff total.

With a hard 20 against dealer's 7, standing is the optimal play. Hard 20 is the second-best hand in blackjack and wins against most dealer upcards; doubling or hitting would only risk busting or achieving an inferior outcome.

With a hard 19 against dealer's 10 upcard, standing is optimal. While doubling is technically legal, the risk of busting (any card) significantly outweighs the minimal upside when already holding a strong hand that beats most dealer outcomes except blackjack or 20.

With a hard 19 against dealer's Jack upcard, standing is the optimal play. A 19 is a very strong hand that wins against most dealer outcomes, and hitting risks busting with minimal upside.

With a hard 14 against dealer's 10-value card, hitting risks busting (any card 8+ busts). Standing gives the best mathematical expectation in this unfavorable situation, as the dealer has strong equity.

With a hard 17 against dealer's 2 (weak upcard), standing is optimal. Basic strategy dictates standing on 17 versus 2, and the risk of busting on a hit outweighs the marginal gain potential.

With a hard 20 against dealer's Queen (10-value), standing is the mathematically optimal play. The probability of improving with a hit is minimal and risks busting, while the dealer's strong upcard makes this hand a strong favorite to win.

With a hard 15 against dealer's 6 (weak upcard), standing is optimal. The dealer's bust probability is high with a 6 showing, and hitting a 15 risks busting myself with many cards (10-value cards bust immediately).

Player has 15 (Q-5) vs dealer's 5 upcard. Dealer 5 is a weak card with high bust probability. Standing is optimal here to avoid busting on a hard 15, as hitting risks going over 21 while dealer is likely to bust themselves.

With a soft 16 (Ace-5) against dealer's King, standing is optimal. Hitting risks busting (any card 6+ creates a hard hand where hitting again is dangerous), while the dealer's strong upcard makes soft 16 unlikely to win if improved. The expected value of standing exceeds hitting or doubling.

With a hard 18 against dealer's 2 (weak upcard), standing is optimal. The dealer has only a 35% chance to reach 19 or higher, making our 18 a strong position. Hitting risks busting and gains no edge.

I have a soft 20 (Ace-9) against dealer's Ten upcard. Standing is the correct play as 20 is an excellent hand and hitting or doubling would only increase bust risk or waste value against a likely strong dealer hand.

With a soft 13 (Ace-2) against dealer's 9, hitting is the optimal play. Doubling risks pushing too much into a weak hand; standing at 13 loses to nearly all dealer outcomes. The soft ace gives flexibility to improve without busting.

With a hard 13 against dealer's 9, hitting is the correct basic strategy play. The dealer's 9 is a strong card, and standing on 13 would result in a loss most of the time. Hitting gives me a chance to improve to 17 or higher.

With a hard 18 against dealer's 9, standing is optimal. The hand is strong and unlikely to improve significantly; hitting risks busting while the dealer may also bust or stay below 18.

With a hard 14 against dealer's 9, hitting is optimal. Standing gives a low win probability (~43%) against a strong dealer upcard, while hitting offers better expected value despite the bust risk.

With a hard 18 against dealer's 9 upcard, standing is the correct play. Hard 18 beats most dealer hands and risks busting (any card 4+ busts). The dealer's 9 is strong but 18 is statistically favored to win or push.

With 11 against dealer's 10, doubling down is the mathematically optimal play. This gives the best expected value by increasing the bet when holding a strong total against a dealer upcard that isn't significantly threatening.

With a soft 17 (Ace-6) against the dealer's 4 (a weak upcard), standing is optimal. The dealer's 4 is a bust card with high probability, making this a favorable spot where taking additional risk via hitting or doubling is unnecessary.