Blackjack table

Hard 18 against a dealer 4 is a clear stand; hitting risks busting a strong hand while the dealer is likely to bust or make a weak total.

Hard 13 against a dealer 4 is a basic-strategy stand; the dealer is likely to bust, and hitting risks breaking the hand.

Hard 5 against a dealer 3 is far below any standing total; basic strategy says hit (or double only on 9-11), so I take a card to build toward 17+.

Hard 12 vs dealer 3 is a basic-strategy hit: standing loses more often since the dealer busts less frequently with a 3 than with 4-6.

Hard 15 against a dealer 3 is a standing hand per basic strategy; the dealer is likely to bust, and hitting risks busting with 16+.

Hard 12 against a dealer 10-up is a basic-strategy hit; standing on 12 gives the dealer too high a chance to make a made hand, and only tens bust me.

Hard 15 against a dealer 10 (Queen) is a standard basic-strategy hit; standing loses against the dealer's likely strong total.

Hard 17 against a dealer 8 is a standing hand in basic strategy; hitting risks busting with no meaningful gain since dealer 8 only wins outright with 18+ anyway.

Basic strategy for a hard 12 against a dealer 3 upcard is to stand; only a 2 upcard warrants hitting, and doubling is far too risky here.

Hard 11 against a dealer 6 is a classic double in basic strategy: high chance of drawing a 10 for 21, and dealer's weak 6 upcard gives strong bust odds.

Hard 19 is a very strong hand; standing wins the vast majority of the time against a dealer 4, and hitting or doubling risks turning a near-certain winner into a loss.

Hard 20 against a dealer 10 is a strong standing hand; splitting jacks would sacrifice a near-certain winner for two weaker hands. Standing maximizes expected value.

Hard 20 versus a dealer 6 is a near-certain winner; standing maximizes EV since any hit risks busting a made hand.

Hard 15 against a dealer 5 is a stand per basic strategy; the dealer's high bust probability makes hitting unnecessary risk.

Hard 20 vs a King is a near-lock; standing maximizes EV since doubling or splitting tens would only risk a dominant hand. Dealer peek already rules out an undisclosed blackjack.

Basic strategy: with 14 against a dealer 3, the dealer is likely to bust, so standing avoids the risk of busting with a hit.

Hard 11 against a dealer 3 is a strong drawing hand; basic strategy hits (doubling is only correct against 5 or 6), and with 5 decks remaining there is plenty of room to improve without busting.

Hard 19 against a dealer 3 is a clear stand; hitting or doubling risks a strong winning hand for negligible gain.

Hard 16 against a dealer 10 is a losing standing position; basic strategy says take one more card since standing loses ~77% of the time.

Hard 15 against a dealer 9 is a losing standing position; basic strategy calls for hitting since the dealer's strong upcard makes 15 too weak to stand on.

Hard 10 against a dealer 5 is a strong doubling spot per basic strategy; the dealer's bust probability is high and my expected value is maximized by doubling one extra bet.

Hard 12 against a dealer 10 is a losing standing position; basic strategy calls for hitting since only a 10 gives the dealer a pat hand and standing on 12 has lower EV.

Hard 17 against a dealer 10 is a clear stand; hitting risks busting with no meaningful gain since 18+ only slightly improves expected value versus the high bust risk.