Blackjack table

Hit hard 12 against a dealer 10; standing has a worse expected outcome.

Hit hard 15 against a dealer 10; standing has a worse expected value.

A pair of 3s against an ace should be played as a hard 6; splitting is unfavorable here. Hit to improve the low total.

Hard 16 against a dealer Ace should hit when surrender is unavailable; standing loses too often even after the dealer's blackjack peek.

Stand on hard 15 against a dealer 4; the dealer's weak upcard makes letting them draw preferable to taking bust risk.

Stand on hard 20; it is already a very strong total against a dealer 6.

Hard 12 against a dealer 9 is a hit under basic strategy; standing gives up too much against the dealer's strong upcard.

Hard 13 against a dealer 9 is a hit under basic strategy, since standing leaves too much dealer-winning probability.

Hard 15 against a dealer 9 should hit under basic strategy, as standing has a lower expected value.

Stand on hard 19 against a dealer 9; hitting has a high bust risk and little upside.

Double 9 against a dealer 6: the dealer is vulnerable to busting and improving a 9 with one card has strong value.

Hard 16 against a dealer 9 is a hit under basic strategy when surrender is unavailable.

Stand on hard 18 against the dealer Ace; hitting has too much bust risk and the dealer has already peeked for blackjack.

Hit 13 against the dealer's 8; standing is too weak, while doubling is not justified.

Double 10 against a dealer 10; one additional card maximizes value with this strong starting total.

Hard 14 against a dealer 10 is a hit under basic strategy; standing gives the dealer too much advantage.

Stand on hard 15 against a dealer 5; the dealer's weak upcard makes busting on a hit less attractive.

Hard 15 against a dealer 7 is a hit under basic strategy; standing leaves too much dealer-strength exposure.

Stand on hard 19 against a dealer 7; hitting has substantial bust risk and offers little improvement.

Soft 17 against a dealer 6 is a favorable doubling situation, leveraging the dealer's high bust probability.

Stand on hard 14 against a dealer 5, since the dealer's weak upcard gives a strong chance of busting.