Blackjack table

A hard 20 against a dealer 10 is a strong standing hand. Splitting tens gives up a likely win, so standing is correct basic strategy.

Basic strategy says to stand on hard 12 against a dealer 5, because the dealer's bust chance is high.

Hard 17 against a dealer 4 is a standard stand. The dealer has a weak upcard and a high chance of busting, while hitting risks busting our own hand.

Hard 10 against a dealer 7 is a standard double in basic strategy, since we have the higher total and the dealer is likely to make only 17.

A hard 7 against a dealer 10 is a clear hit under basic strategy. Doubling or standing would both be far worse.

Basic strategy says to stand on a hard 17 against a dealer 10. Hitting busts too often to beat standing.

A hard 6 against a dealer 10 is a clear hit under basic strategy. Standing or doubling would both lose more on average.

A hard 9 cannot bust on the next card, so hitting is clearly correct against the dealer's 10.

A hard 19 against a dealer 10 is a clear stand under basic strategy. Hitting would bust far too often.

Hard 17 against a dealer 10: basic strategy is to stand, because hitting busts far too often.

Basic strategy for a hard 12 against a dealer 3 in a 6-deck, S17 game is to hit. The dealer's 3 is not weak enough to justify standing.

Hard 16 against a dealer Ace on S17 with no surrender: basic strategy says hit, since standing loses more often given the dealer's strong upcard.

Basic strategy for a hard 13 against a dealer 6 is to stand. The dealer's bust probability is high, and hitting risks busting.

Basic strategy for a pair of 3s against a dealer 8 is to hit; even with double after split allowed, splitting 3s only pays against a 2 through 7.

Hard 14 against a dealer 8 is a hit under basic strategy. The dealer is likely to finish with 17 or more, so standing loses more often than hitting.

Basic strategy for a pair of 6s against a dealer 10 (S17, DAS) is to hit, since splitting into two weak hands against a strong upcard loses more.

A hard 20 against a dealer 10 is a clear stand under basic strategy. Splitting tens gives up a strong made hand for a worse expected value.

Basic strategy says to stand on hard 12 against a dealer 6. The 6 is a weak upcard that often busts, so I let the dealer take the risk.

Basic strategy says to double a hard 9 against a dealer 6. The dealer's upcard is weak and likely to bust, so putting more money in has positive expected value.