Blackjack table

Hard 12 against a dealer 5 is a standard stand: the dealer's bust probability is high, and hitting risks breaking with 10-value cards abundant in the shoe. Doubling is not justified on a 12.

Hard 12 against a dealer 10 is a basic-strategy hit; standing leaves the hand too likely to lose to the dealer's likely 20, and doubling is far too risky with a stiff total.

Hard 12 vs dealer 5 is a standing hand in basic strategy since the dealer's bust probability is high; hitting only marginally improves EV here.

Hard 14 vs dealer ace is a clear basic-strategy hit; since the dealer peeked and has no blackjack, standing on 14 loses far more often than drawing.

I have a hard 20, which is nearly unbeatable. Standing is clearly optimal here.

Hard 6 against a dealer King is one of the worst starting totals; basic strategy mandates hitting since standing loses nearly always and doubling 6 vs 10 is far too aggressive.

Hard 13 against a dealer King is a losing standing position; basic strategy for multi-deck S17 says hit hard 13 vs 10, since the dealer's expected made hand beats 13 too often.

Hard 16 vs dealer 10 is a standard hit; standing loses more often than taking one card.

Hard 20 is nearly unbeatable; standing is clearly optimal.

Hard 14 vs dealer 2 is a hit in basic strategy (14 hits vs 2, stands only vs 7+).

Hard 19 is a strong made hand; standing against a dealer 2 is clearly optimal since hitting risks busting for negligible gain.

Hard 11 vs dealer 9 is a strong double per basic strategy (S17, multi-deck); maximizing EV by doubling on the best drawing hand.

Hard 17 vs dealer 9: standing is basic strategy; hitting risks busting with little gain.

Hard 10 against a dealer 4 is a classic double per basic strategy; the dealer's weak upcard gives strong expected value for doubling.

Hard 18 vs dealer 7 is a clear stand; hitting only risks busting for negligible gain.

Hard 13 against a dealer 7: basic strategy says stand, since the dealer's likely made hand (17) beats 13 and hitting risks busting.

Hard 13 vs dealer 8 is a mandatory hit in basic strategy; standing gives poor expected value.

Basic strategy: split a pair of 8s against a dealer 9 to avoid playing a hard 16, which is the worst total. With double-after-split allowed and dealer standing on soft 17, splitting is clearly optimal.

Hard 15 against a dealer 9 is a losing standing hand; basic strategy says hit despite bust risk.

Soft 19 vs dealer 9 is a stand per basic strategy; doubling would risk a strong hand for little gain.

Soft 17 vs dealer 2 is too weak to stand; basic strategy says hit (cannot bust with one card).

Soft 20 is a near-made hand; standing is clearly optimal against a dealer 2.

Hard 20 is a near-certain winner; standing maximizes expected value against a dealer 5. Doubling or splitting tens would only risk a dominant hand.

Hard 16 against a dealer 8 is a losing standing position; basic strategy says hit since the dealer's likely made hand beats 16.

Hard 17 vs dealer 8 is a standard stand; hitting risks busting with little gain.

12 vs dealer 6 is a standard stand: the dealer likely busts, and hitting risks breaking the hand.