Blackjack table

Basic strategy: a pair of 7s against a dealer 2 should be split, since 14 is a weak standing total and 7 is a strong starting card, with double-after-split allowed to add value.

Hard 13 against a dealer 2 is a basic-strategy stand; hitting risks busting for little gain against a weak upcard, and doubling 13 is not profitable.

Hard 17 vs dealer 2 is a clear stand; hitting only risks busting with little gain.

Hard 20 is nearly unbeatable; standing is clearly optimal against a dealer Ace, especially since dealer peeking means no blackjack is present.

Hard 15 vs dealer 10 is a losing hand; basic strategy says hit since standing loses more against the dealer's likely 20.

Hard 20 is a near-certain winner; hitting risks busting for negligible gain. Stand.

Hard 19 vs a dealer ten is a clear stand; doubling risks a strong winning hand for negligible edge.

Standing on hard 20 against a dealer 4 is clearly optimal; any other action risks a strong hand.

Hard 10 against a dealer 5 is a textbook double: strong drawing hand plus high dealer bust probability, maximizing EV on a fixed base bet.

Hard 20 is a near-certain winner against a dealer 8; standing maximizes expected value, while splitting tens or doubling would only reduce EV.

Hard 19 is a strong made hand; standing is clearly optimal against a dealer 5, with doubling only risking a likely-winning hand.

Hard 14 against a dealer King is a clear basic-strategy hit; standing loses more often than drawing one card.

Hard 20 is a near-certain winner; hitting or doubling risks busting a premium hand. Stand against the dealer's king.

Hard 17 is a standing hand against any dealer upcard; hitting risks busting (~69%) for minimal gain, and doubling is far too risky against a strong King upcard.

Hard 5 against a dealer 8 is far too weak to stand or double; basic strategy is to hit and try to build a competitive total.

Hard 10 against a dealer 8 is a hit per basic strategy; doubling is not legal here, so drawing to improve toward 17+ is correct.

Hard 20 is nearly unbeatable; only a dealer 20 or push beats it, and hitting risks busting for negligible gain. Standing is clearly optimal.

Hard 12 vs dealer 3 is a basic-strategy hit; standing only wins if the dealer busts, while one draw is low-risk with 12.

Hard 18 is a strong made hand; basic strategy stands against a dealer 3 upcard, and hitting risks busting for little gain.

Soft 18 (A,7) against a dealer 6 is a basic-strategy double: the dealer's high bust probability makes maximizing the bet on this spot more profitable than standing.

Hard 13 against a dealer 7 is a basic-strategy hit; the dealer's likely 17 leaves standing as a losing play, so I take one card.

Hard 10 vs dealer 6 is a standard double per basic strategy; the dealer's weak 6 upcard busts frequently, so maximizing value here is optimal.

Hard 13 against a dealer 6 is a standard stand: the dealer's bust probability is high and hitting risks breaking a made hand.

Hard 15 against a dealer Ace is a mandatory hit under basic strategy; standing loses far too often since the dealer's Ace is a strong upcard and surrender is not available.

Hard 19 is a strong made hand; with dealer peeking, no blackjack is present, and hitting risks busting for minimal gain. Standing is clearly optimal.

Hard 15 vs dealer 7 is a basic-strategy hit: standing loses to most dealer 17-20 outcomes, and only ~22% of hits bust while many improve the hand. Doubling 15 vs 7 has strongly negative EV.