Blackjack table

Hard 7 against a dealer 3 is well below the standing range; basic strategy calls for a hit since the dealer is not likely to bust from a 3 often enough to justify standing on 7.

Hard 13 against a dealer 3 is a standard stand under S17 rules; the dealer's bust probability is high enough that hitting risks more than it gains.

Soft 13 vs dealer 7 is a hit per basic strategy; doubling is only correct against weak dealer upcards (4-6), and standing on 13 gives poor expected value against a likely dealer 17-20.

Soft 17 is too weak against a dealer 7; basic strategy says hit soft 17 in all cases since drawing can't bust and improves the hand.

Hard 17 vs dealer 7 is a clear stand per basic strategy; hitting risks busting with no meaningful gain.

Hard 15 vs dealer 9 is a losing spot either way; basic strategy says hit since standing wins only if dealer busts (~23%) while drawing can improve without high bust risk.

Hard 17 against a dealer 9 is a clear stand per basic strategy; hitting risks busting with little upside.

Basic strategy: split 9s against dealer 8, since 18 is a weak standing total and two 18s from 9-9 vs an 8 outperform one 18. Doubling is not available after the pair becomes two hands, so splitting maximizes expected value.

Hard 15 against a dealer 8 is a clear hit per basic strategy; standing loses to the dealer's likely 18, and only a small card improves the hand safely.

Hard 16 against a dealer 7 is a basic-strategy hit; standing loses more often since the dealer's 7 upcard frequently makes 17 or better.

Hard 19 against a dealer 4 is a strong standing hand; hitting or doubling risks a near-certain winning total for negligible gain.

Hard 12 against a dealer 3 is a basic-strategy hit; standing risks losing to the dealer's likely made hand, and only a 10 would bust me.

Hard 19 is a very strong hand; standing maximizes expected value against a dealer 3 upcard, with only a tiny risk of dealer drawing to 20/21.

Hard 18 against a dealer 2 is a stand per basic strategy; hitting risks busting a strong total for marginal gain.

Hard 12 against a dealer 10 is a losing standing position; basic strategy calls for a hit since standing loses against the likely dealer 20.

Hard 19 is a strong made hand; standing wins against most dealer outcomes with a King upcard, while hitting risks busting for negligible gain.

Basic strategy: hard 13 against a dealer 2 is a stand; the dealer's bust risk outweighs the modest gain from hitting.

Hard 18 against a dealer 5 is a clear stand; hitting risks busting a strong hand while the dealer is likely to bust.

Hard 17 against a dealer 10 is a standard stand; hitting risks busting with little upside, and doubling is far too risky.

Hard 19 against a dealer 8 is a strong standing hand; doubling risks a near-certain winning total for marginal gain.

Hard 18 against a dealer 8 is a clear stand in basic strategy; hitting risks busting a made hand with little upside.

Basic strategy: always split a pair of 8s against a dealer 10 to avoid playing a hard 16; with DAS allowed and 6 decks, splitting is clearly optimal.

Hard 14 against a dealer 10 is a basic-strategy hit; standing wins only when the dealer busts, while drawing can improve to 17+. Doubling 14 vs 10 is far too risky.

Hard 18 against a dealer 10 is a stand per basic strategy; doubling with 18 is far too risky and hitting gives little upside.

Soft 18 vs dealer 3 is a standard double (otherwise stand); doubling exploits the dealer's weak upcard while the ace gives flexibility.

Soft 18 (A,7) against a dealer 6 is a basic-strategy double in S17 games: the dealer's high bust chance makes maximizing value on this favorable spot better than standing.