Blackjack table

Hard 13 against a dealer 3 is a basic-strategy stand; the dealer is more likely to bust than this hand is to improve safely.

Hard 11 against a dealer 4 is a strong doubling opportunity.

A hard 20 is very strong against a dealer 3; standing preserves its high expected value.

With soft 15 against a dealer ten, hitting is stronger than standing or doubling.

With a hard 15 against a dealer 10, hitting has a better expected return than standing.

With hard 16 against a dealer 10, hitting has a better expected return than standing.

Hard 12 against a dealer ten is a hit in basic strategy; standing loses too often, and doubling is too risky.

Hard 19 is strong against a dealer ten; hitting has a high risk of busting.

A hard 20 is a strong hand; standing against the dealer's 5 maximizes expected value.

With a hard 12 against a dealer 4, standing is the basic-strategy play: the dealer has a meaningful bust risk, while hitting risks busting our hand.

Soft 18 against a dealer 8 is a stand under basic strategy.

Splitting eights against a dealer 4 is more profitable than playing a hard 16.

Hard 10 against a dealer 4 is a favorable double-down spot, including after a split.

Soft 19 is strong against a dealer 4; standing is better than hitting or doubling.

Hard 11 against a dealer 10 is a standard double-down opportunity.

Hard 16 against a dealer 7 is an unfavorable standing hand, so hitting is the better play.

With a hard 13 against a dealer 7, hitting has better expected value than standing or doubling.

A hard 20 is a strong hand against a dealer 7; splitting tens, hitting, or doubling would reduce its expected value.

With a hard 11 against a dealer 10, doubling offers better expected value than hitting.

With a hard 8 against a dealer 10, hitting is preferable to doubling or standing.

With a hard 13 against a dealer 10, hitting offers a better chance than standing.

A hard 20 is a very strong hand; splitting tens against a dealer 2 would give up substantial expected value.

With a hard 14 against a dealer 10-value upcard, hitting has better expected value than standing; doubling is too risky.

Hard 11 against a dealer 10-value upcard is a strong doubling opportunity.

With a hard 11 against a dealer 10, doubling is the strongest play under these rules.