Blackjack table

With a hard 7 against dealer's 10, hitting is the correct basic strategy play. The hand is too weak to stand, and doubling down on 7 is not advisable since even with one card we're unlikely to reach a strong total.

I have 17 (2-5-K), which is a strong hand against dealer's 10. Standing minimizes bust risk while keeping a reasonable winning probability.

With 15 against dealer's Ace (which counts as 11), hitting risks busting with high probability while the dealer likely has 17+ (blackjack is excluded by peek rule). Standing preserves my hand and gives me the best expected value in this unfavorable situation.

With 11 against dealer's 8, doubling down is optimal. This hard 11 has excellent potential (any 10-value card makes 21, and many other cards improve the hand significantly), while the dealer's 8 is moderately strong but beatable.

With a hard 12 against dealer's Jack (10-value), hitting risks busting on any card 10 or higher (which comprises about 31% of the deck). Standing allows the dealer to bust more frequently, which is the mathematically superior play in this scenario.

With a hard 10 against dealer's weak 6, doubling is optimal. The dealer's upcard indicates a likely bust situation, and my total of 10 is perfectly positioned to win more chips with a double down.

With a hard 14 against dealer's ace (soft 17 or blackjack), standing minimizes bust risk since hitting has a high probability of busting and doubling worsens the expected outcome.

With 13 against dealer's King (10-value), hitting is the optimal play. Standing on 13 loses to most dealer hands, while hitting gives a chance to improve to 17+ without significant bust risk given the remaining cards in the shoe.

With 15 against dealer's 8, standing is the mathematically optimal play. Hitting risks busting (any card 7+ busts), and dealer's 8 upcard is weak enough that they may bust themselves.

With a hard 15 against dealer's 2, standing is optimal. The dealer is in a weak position and likely to bust; hitting increases bust risk significantly while standing lets the dealer play their weak hand.

With a pair of 2s against the dealer's King (10-value), splitting gives me two chances to build better hands. The dealer's strong upcard makes this a marginal spot, but splitting maximizes expected value compared to hitting a hard 4.

With 12 against dealer's King (10-value), hitting risks busting (any card 10+ busts). Standing gives a better mathematical outcome than doubling or hitting in this unfavorable position.

With a hard 8 against dealer's King (10-value card), hitting is the correct basic strategy play. The dealer's upcard suggests a strong hand, so I need to improve my total significantly. Doubling on 8 is not recommended in basic strategy against a 10.

Hand 1 totals 18 against dealer's King (10-value). Standing on 18 is the correct basic strategy play against a dealer upcard of 10, as hitting risks busting with a high probability while the hand is already strong.

With 13 against dealer's weak 2, standing is optimal. The dealer has a high bust probability, and hitting 13 risks busting while doubling (which would risk 20 chips) is unfavorable given the low expected return.

With 13 against dealer's King (10-value), hitting is the correct basic strategy play. Standing on 13 loses to any dealer 13-21, while hitting gives a chance to improve to 17+. The risk of busting is acceptable given the dealer's strong upcard.

With a hard 19 against dealer's 8, standing is the correct play. My hand is strong and the dealer's upcard (8) is moderately weak; doubling down would be unnecessary risk when the expected value of standing is already favorable.

With a hard 20 (Ten-Jack), this is the second-strongest hand in blackjack. The dealer's Queen upcard is strong but we beat it with our 20. Standing is the mathematically correct play here.

With 16 against dealer's Jack (10-value), hitting is the statistically correct play. A hard 16 is a weak hand that loses money on average when standing, and the dealer's strong upcard makes hitting the only viable option to improve.

With a soft 16 (Ace-5) against dealer's 2, doubling is the mathematically optimal play. The dealer's 2 is weak, and doubling allows us to maximize expected value with a hand that can improve to 17-21 without busting risk on the next card.

Soft 13 (Ace-2) versus dealer's weak 2 is a classic double-down situation in blackjack. The dealer's bust probability is high, and doubling maximizes expected value when we have a soft hand that can only improve.

With 14 against dealer's 9, hitting is the mathematically correct play. The dealer's 9 is a strong upcard, and standing on 14 loses to most dealer hands. Doubling down on 14 is generally unfavorable against a strong upcard.