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Pair of 7s vs Dealer 5: Split

You're dealt a pair of 7s. The dealer shows a 5. Split or play it as one hand? Basic strategy answers:

SPLIT
Basic strategy · multi-deck · dealer stands on soft 17 · double after split allowed

The numbers for this exact hand

Split ←+0.1000
Stand-0.1672
Hit-0.3214
Double-0.6428
You bust on the next card46.2%
Dealer 5 busts41.6%

Split is not close: it beats Stand by 0.2672 per unit. Getting this one wrong costs $2.67 on a $10 bet, every single time. Across the 340 situations in this chart it ranks 136th by expected value — better than 204 of them, worse than 135. Expected value is per unit staked, computed for multi-deck, dealer stands on soft 17, double after split allowed. The model and the code are published as data.

Against a dealer 5 (42% bust chance), splitting 7s turns one mediocre total into two playable hands while the dealer is vulnerable. With double-after-split allowed, you also keep the option to press each new hand — that's where the split profit comes from.

This hand vs every dealer card

2SP3SP4SP5SP6SP7SP8HI9HI10HIAceHI
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