Blackjack table

Basic strategy: hard 13 vs dealer 8 is a hit; standing leaves too high a bust probability for the dealer.

Hard 13 against a dealer 10 is a basic-strategy hit; standing gives the dealer too high a chance to make 17-21. Take one card and re-evaluate.

Hard 18 against a dealer 4 is a clear stand in basic strategy; the dealer's bust probability is high and doubling 18 risks turning a likely winner into a loss.

Hard 9 against a dealer 7 is a clear hit per basic strategy; a 10 or ace gives a strong 19-20, and standing on 9 loses to the dealer's likely 17-20.

Soft 20 is a near-made hand; only a dealer 21 beats it, and hitting can only worsen the total. Standing maximizes expected value.

A pair of aces should always be split; two hands starting from ace each have strong expected value even against a dealer ten, far better than hitting a soft 12.

Hard 11 against a dealer 5 is a prime doubling spot in basic strategy; the dealer's weak upcard gives high expected value for doubling my bet.

Hard 20 is a near-made hand; standing wins against a dealer 2 in the vast majority of cases, while hitting or doubling risks ruining a dominant position.

Hard 20 is a near-made hand; standing wins the vast majority of the time against any dealer upcard, including a ten.

Hard 19 is a very strong hand; standing against a dealer 3 is clearly optimal, as doubling risks a near-certain winning hand for no meaningful gain.

Hard 16 against a dealer 9 is a losing standing position; basic strategy calls for a hit since the dealer's strong upcard makes standing worse in expectation.

Hard 18 against a dealer 9 is a clear stand per basic strategy; hitting risks busting with little gain, and doubling is far too risky.

Hard 12 against a dealer 7 is a basic-strategy hit: the dealer's expected result with a 7 up is strong enough that standing on 12 loses more than hitting, despite the bust risk.

Hard 20 is a near-lock; standing is clearly optimal against a dealer 7.

Hard 11 vs dealer 3 is a strong doubling opportunity under basic strategy (S17, 6 decks); maximizing expected value by doubling the bet.

With 9 against a dealer 2, basic strategy calls for a hit; doubling is only correct against 3-6, and standing on 9 leaves the hand far too weak.

Hard 19 is a strong made hand; standing is clearly optimal against a dealer 2 regardless of composition.

Hard 10 against a dealer 10 (King) is a hit per basic strategy; doubling is only correct against dealer 2-9.

Hard 15 against a dealer 10 is a basic-strategy hit; standing loses against the strong upcard unless the dealer busts, and only small cards improve the hand without busting.

Hard 19 is a very strong hand; standing is clearly optimal against a dealer ten.

Hard 20 is nearly unbeatable; standing against a dealer 7 maximizes expected value. Hitting, doubling, or splitting would only risk a dominant hand.

Hard 19 against a dealer J is a strong standing hand; hitting or doubling risks busting with little upside.

Hard 9 against a dealer King is a clear basic-strategy hit; standing loses against a likely 20, and doubling is only correct against dealer 3-6.

Soft 20 (A-4-5) is a near-made hand; only a draw of an ace improves it, and hitting risks degrading a strong total against a dealer 10. Standing maximizes expected value.

Hard 12 against a dealer queen is a losing standing position; basic strategy calls for a hit since the dealer is likely to make 17-20.

Hard 15 against a dealer 10 is a losing standing position; basic strategy says hit since the dealer's expected total is strong and 15 loses more often than it wins.

Hard 17 vs a dealer 10 is normally a marginal hit, but this 4-card 17 (8-4-3-2) removes several small cards from play, making the remaining shoe ten-rich and raising bust risk; standing is the better composition-dependent play.