Blackjack table

With a hard 17 against dealer's 7, standing is optimal. The dealer has a 7 showing (expected to make 17-21), and hitting risks busting on any card 5 or higher. Basic strategy dictates standing on 17 in this spot.

Player has 17 (J-7) against dealer's 5, which is a bust card. Standing on 17 is the mathematically correct play; hitting risks busting while the dealer is likely to bust from a 5 upcard without needing our help.

With a hard 20 against the dealer's 10 upcard, standing is the optimal play. This is the second-best possible hand in blackjack, and the risk of busting on any hit vastly outweighs the negligible probability of improvement.

With 16 against dealer's 6, standing is the correct basic strategy play. The dealer's weak upcard (6) means they're likely to bust, and hitting 16 would give us a high probability of busting ourselves (any card 6 or higher causes a bust).

With a hard 12 against dealer's 9, hitting risks busting (with 10-value cards), while standing gives the dealer a chance to bust. Dealer showing 9 is strong but not unbeatable; standing is the statistically superior play here.

With a hard 11 against dealer's weak 4, doubling down is the optimal play. The dealer is likely to bust or stay low, and my 11 gives excellent chances to reach 20 or 21 on the draw.

With 15 vs dealer's 4, standing is optimal. The dealer's weak upcard (4) means they have high bust probability, and hitting 15 risks going bust (hands totaling 16-21 bust with any paint card or 10).

With 15 against dealer's 3, standing is optimal. A 3 is a weak dealer upcard, and hitting risks busting with a 6 or higher (~54% chance). Dealer bust probability is high (~37%), making this the correct basic strategy play.

With 13 against dealer's 5 (weak upcard), hitting is standard basic strategy. The dealer's 5 is a bust card, but my 13 is too weak to stand—I need to improve my hand while taking advantage of the dealer's vulnerability.

With a hard 20 against the dealer's 5 (weak upcard), standing is the correct play. A 20 is an excellent hand, and hitting risks busting while the dealer is likely to bust themselves.

Hard 20 is a strong hand with excellent winning probability against dealer's 9. Standing is the mathematically optimal play; doubling or hitting would risk busting or receiving a card that doesn't improve the hand.

With a pair of 2s against dealer's 2, splitting is optimal per basic strategy. This gives two chances to build strong hands against the dealer's weak upcard.

Hand total is 8 against dealer's 2 (weak upcard). Hitting is standard basic strategy; the risk of busting is low and we need to improve a very weak hand. Doubling would commit too many chips when a hit first gives us a chance to reach a better total.

I have 11 from a split hand, and dealer shows 2. Hitting is mandatory with 11 to improve the hand, and double is not available post-split in this situation.

Hand 0 totals 19 against dealer's 2 (weak upcard). Standing on 19 is optimal as hitting risks busting with only 2 aces helping; dealer likely busts from their weak position.

With a hard 7 against dealer's 2, doubling down is the optimal play per basic strategy. The dealer's weak upcard (2) combined with the opportunity to double and draw one more card gives strong expected value in this situation.

With 15 against a dealer King (likely 10), I'm in a weak position. While doubling would risk more chips, hitting gives me a better chance to improve to 17+ without committing extra capital in an unfavorable situation.

With 12 against dealer's Ace (which is likely 11 or 21), standing minimizes bust risk. Hitting 12 busts on any 10-K-Q (16 ways), and doubling down against a strong dealer upcard is unfavorable.

With a pair of 4s totaling 8 against a dealer 9, splitting gives two chances to improve weak hands. Each 4 can pair up or build to 14-21 with favorable cards, whereas hitting a single 8 leaves us in a difficult position.

With a hard 8 against dealer's 9, hitting is the optimal basic strategy play. The hand is too weak to stand, and while splitting 4s is sometimes played, hitting gives better expected value in this spot.

Hard 18 vs dealer 9 is a strong hand. Standing is the mathematically correct play as hitting risks busting (any card 4 or higher busts), and 18 wins against most dealer outcomes except 19 or 20.

With 14 against dealer's 9, hitting is optimal. The dealer's 9 is strong (likely 19), so standing on 14 is a losing position. Hitting gives a chance to improve to 17-21, while the risk of busting (with 10-value cards) is outweighed by the need to strengthen this hand.

With 15 against dealer 9, hitting is the correct basic strategy play. The dealer's 9 is a strong upcard, and standing on 15 loses to most dealer outcomes (dealer hits soft 17 is false, so they stand on 17). Hitting gives a chance to improve to 17+ or reach 21.

Current hand totals 17 against dealer's 9. Standing on 17 is the correct basic strategy play; hitting risks busting while the dealer has a strong upcard.

With a hard 8 against dealer's Queen (10-value card), doubling down is the mathematically optimal play. This increases expected value by capitalizing on the likelihood that the next card will help my hand while the dealer's likely 10-value hole card puts them in a strong position.

With 12 against dealer's 5 (a weak upcard), standing is optimal. The dealer will likely bust with a stiff hand, and hitting 12 creates high bust risk (40% with 10-value cards available).

With a hard 12 against dealer's 5 (weak upcard), standing is optimal. Dealer busts 42% of the time with 5 showing, and hitting 12 risks busting myself (risk of 10-value card at 31%). The math favors letting the dealer draw.

With a hard 8 against the dealer's weak 3 upcard, doubling down is the mathematically optimal play. The dealer is in a vulnerable position and likely to bust, making this an excellent opportunity to increase the expected value by doubling the bet.

With a hard 17 against dealer's 8, standing is optimal. The dealer has a strong upcard but still busts ~42% of the time, while hitting risks busting my hand immediately. Basic strategy dictates standing here.