Blackjack table

Hard 13 against a dealer 8 is a clear hit per basic strategy; standing only wins if the dealer busts, while hitting improves expected value despite bust risk.

Hard 14 against a dealer 8 is a clear basic-strategy hit; standing only wins if the dealer busts, while hitting improves expected value against a strong upcard.

Hard 17 is a standing hand; hitting risks busting with no realistic improvement against a dealer 8.

Hard 16 vs dealer 10 is a standard hit per basic strategy; standing loses more often than drawing one card since dealer 10 beats 16 most of the time.

Hard 18 is a strong standing total against a dealer Queen; hitting risks busting a made hand for minimal gain.

Hard 13 against a dealer 10 is a losing standing position; basic strategy says hit to try to reach 17+, since standing loses unless the dealer busts.

Hard 18 against a dealer king is a strong standing hand; hitting risks busting with little gain since only 2-4 improve the total marginally.

Dealer peeked and has no blackjack, so this is 20 vs a non-blackjack Ace. Twenty wins or pushes against nearly everything; hitting risks busting a near-certain winner.

With a total of 7 against a dealer J, standing has virtually no chance to win; basic strategy says hit until reaching a stronger total.

Hard 13 against a dealer 10 (J): standing only wins if the dealer busts (~23%), while hitting improves expected value since 13 can't bust with one card and basic strategy calls for a hit here.

Hard 16 against a dealer 10 is a basic-strategy hit; standing loses to any dealer 17+ and only wins if the dealer busts, while drawing can improve to 17-21. No surrender or double is available.

Hard 18 is a made hand; basic strategy stands against a dealer 10 since hitting risks busting for minimal gain.

Hard 18 is a standing hand against every dealer upcard, including an ace; hitting or doubling here has worse expected value than standing.

Hard 12 against a dealer 10 is a basic-strategy hit; standing loses to any dealer draw of 10 or more, while hitting risks busting only on a 10-value card.

Hard 12 against a dealer 3 with S17 rules is a stand per basic strategy; hitting risks busting with little gain since the dealer's break chances are already high.

Hard 20 against a dealer King is a near-lock winner; hitting or doubling would risk busting a made hand for negligible gain.

Basic strategy: with 11 against a dealer 7, doubling is optimal since the dealer is weak and one more card likely gives 18-21, maximizing expected value.

Basic strategy: a hard 6 against a dealer Ace is never split or doubled; hitting minimizes expected loss since the dealer's strong upcard makes standing hopeless.

Hard 13 against an ace is a big underdog; basic strategy says hit since standing loses far more often and doubling/splitting aren't legal here.

Hard 17 against an ace is a losing spot, but hitting risks busting; standing is correct since 17 is already near the dealer's likely outcome and surrender isn't available.

Hard 18 against a dealer ace is a clear stand; hitting risks busting a strong made hand, and the dealer has already peeked for blackjack.

20 vs dealer 10 is a clear stand; only way to lose is dealer push/BJ already peeked.

With 14 against a dealer 6, standing is correct: the dealer's bust probability is high, and hitting risks busting a likely winning hand.

Basic strategy: always split 8s against a dealer 10 to avoid playing 16, the worst total. Splitting turns one bad hand into two chances to build 18s, and DAS is allowed here.

Hard 14 against a dealer J (10-value upcard) is a clear hit per basic strategy; standing loses to any dealer draw of 7+, and doubling risks busting on any card 8 or higher.

Hard 18 against a dealer 10 is a clear stand; hitting risks busting a made hand, and doubling is not justified with 18.

Basic strategy: hard 9 doubles against a dealer 6, since the dealer's high bust probability makes the extra bet +EV.

Hard 15 against a dealer 10 is a losing standing position; basic strategy says hit (surrender unavailable), taking the small chance to improve to 17-21.

Hard 15 against a dealer 6 is a stand per basic strategy; the dealer's high bust risk makes hitting unnecessary and doubling too risky.

Hard 20 against a dealer 5 is a near-lock; standing maximizes expected value with no risk of busting.