Blackjack table

Hard 11 against a dealer 10 is a textbook double in 6-deck S17 blackjack; the expected value of doubling exceeds hitting.

Hard 20 against a dealer 10 is a near-certain winner; standing is clearly optimal.

Hard 19 against an ace is a strong standing hand; hitting or doubling risks far more than the small expected gain.

Hard 15 against a dealer 2 is a basic-strategy stand in a 6-deck, S17 game; the dealer's bust risk on small upcards outweighs the risk of hitting to bust.

Basic strategy: with 9,9 against a dealer 2 (weak upcard), splitting yields higher expected value than standing on hard 18, since each 9 starts a strong hand versus a likely dealer bust.

Soft 20 (A-9) is a near-unbeatable hand; standing maximizes expected value against a dealer 2 upcard, while doubling would risk a premium hand for no reason.

Hard 12 against a dealer 2 is a marginal basic-strategy hit; standing gives up expected value since the dealer's bust frequency on 2 is low.

Basic strategy: stand on hard 15 against a dealer 2 upcard, since the dealer's bust risk is high and hitting 15 risks busting.

Hard 17 is a standing hand against any dealer upcard; with dealer peeking for blackjack already passed, standing maximizes expected value versus the high risk of busting.

Hard 17 against a dealer 6 is a clear stand; hitting risks busting a hand that already wins most of the time against a likely dealer bust.

Hard 20 is a near-made hand; standing maximizes expected value against any dealer upcard, including an Ace.

Hard 12 against a dealer 7 is a basic-strategy hit: the dealer's likely 17 beats 12, and drawing cannot bust me.

Hard 14 against a dealer 7 is a basic-strategy hit: the dealer's expected finish is strong (17+ about 57% of the time), so standing on 14 loses too often and drawing improves expected value.

Hard 16 vs dealer 7 is a losing standing position; basic strategy says hit, since dealer 7 makes 17-21 about 69% of the time and standing 16 wins only ~30%.

Hard 12 against a dealer 7 is a standard hit: the dealer's likely made 17 beats 12, and only a 10 busts me.

I have a hard 20 against a dealer 7; standing is clearly optimal since only a hit could bust me and the dealer is unlikely to outdraw 20.

Soft 14 against a dealer 10 is a clear hit per basic strategy; the ace gives me flexibility with no bust risk on one card, and doubling is too aggressive against a strong upcard.

Soft 20 (A-3-6) is a made hand; hitting risks little upside and can only hurt. Standing maximizes expected value against a dealer 10.

Hard 13 against a dealer 9 is a clear basic-strategy hit; standing only wins if the dealer busts, which is unlikely from a 9.

Hard 12 vs dealer 7 is a losing hand if stood; basic strategy says hit to try to improve.

Hard 17 vs dealer 7: standing is the correct basic strategy play; hitting risks busting against a likely dealer 10 hole card.

Hard 16 against a dealer 10 is a losing standing position (~54% loss); basic strategy with no surrender available says hit, which reduces expected loss slightly.

Hard 10 vs dealer 5 is a textbook double per basic strategy; dealer's weak upcard maximizes expected value on the doubled bet.

A,A (soft 12) vs dealer 5: splitting aces is standard strategy, turning a weak 12 into two hands starting from 11 with strong expected value against a bust-prone dealer upcard.

Hard 16 against a dealer 3 is a standing situation in basic strategy; the dealer's bust risk is high and hitting risks busting with 10-value cards abundant.