Blackjack table

Basic strategy for a pair of 2s against a dealer 10 is to hit, not split, even with double after split allowed.

A hard 8 cannot bust on the next card, and standing on 8 against a dealer 10 almost always loses, so hitting is clearly correct.

A hard 11 cannot bust on one more card, and doubling is no longer available, so hitting is strictly better than standing against the dealer's 10.

Basic strategy says to hit soft 15 against a dealer Ace. Doubling is not favored and standing on 15 is weak.

Soft 17 against a dealer Ace should be hit under basic strategy. Hitting cannot bust the hand and improves expected value over standing on a weak 17.

Hard 17 against a dealer Ace is a stand in basic strategy, since hitting busts too often. With S17 rules and the dealer having peeked, standing loses the least.

Hard 10 against a dealer 6 is a standard double: the dealer's bust card is weak and many draws give us a strong total.

Basic strategy says always stand on hard 17, and the dealer showing a 3 has a real chance to bust.

Basic strategy: hard 15 against a dealer 7 is a hit, because a 7 upcard is strong and standing on 15 loses more often than drawing.

Hard 10 against a dealer 10 is a hit under basic strategy for 6 decks, S17 with peek. Doubling here is slightly worse than hitting.

Hard 19 against a dealer 10 is a clear stand under basic strategy. Any card above a 2 would bust the hand.

Basic strategy for a 6-deck S17 game says to stand on hard 13 against a dealer 2. The dealer busts often enough from a 2 that hitting into a likely bust is worse.

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

Hard 7 against a dealer 4: basic strategy is to hit, since doubling on 7 is unprofitable and standing is far worse.

Basic strategy says to stand on hard 12 against a dealer 4. The dealer's bust chance outweighs the risk of busting by hitting.

A hard 6 against a dealer 10 is a clear hit under basic strategy. Doubling or standing would both be worse.

A hard 8 cannot bust on the next card, and standing against a dealer 10 loses far more often, so hitting is clearly correct.

Hard 13 against a dealer 10 is a hit under basic strategy, because the dealer's 10 is too strong to stand on 13. Multi-card composition doesn't change this.

Basic strategy is to stand on hard 17 against any dealer upcard. Hitting risks a likely bust for little gain.

Hard 19 against a dealer 2 is a clear stand under basic strategy. Hitting or doubling would only risk busting a strong hand.

Hard 20 against a dealer 10 is a strong standing hand. Splitting tens gives up a likely win, so basic strategy is to stand.

Soft 19 against a dealer 10 is a stand under basic strategy. Hitting or doubling would lower the expected value.

Hard 17 against a dealer 4 is a clear stand under basic strategy. The dealer has a high bust chance, and hitting risks busting.

Hard 20 against a dealer 6 is a clear stand under basic strategy. Splitting tens gives up a very strong made hand.

Hard 18 against a dealer 5 is a clear stand under basic strategy. The dealer has a high bust chance, and hitting or doubling would risk busting a strong hand.

Basic strategy for soft 18 against a dealer 10 (S17, 6 decks) is to hit, since standing on 18 against a ten loses more often than drawing.

Hard 16 against a dealer 10 is nearly a coin flip between hitting and standing. With three or more cards, composition-dependent strategy slightly favors standing.

A hard 5 against a dealer 2 is always a hit under basic strategy. Taking another card cannot bust the hand and should improve it.

Basic strategy says to stand on hard 15 against a dealer 2, since the dealer has a meaningful chance to bust and hitting risks busting myself.