You have a ten and a six. The dealer shows a ten and has already checked for blackjack. If the table offers late surrender, you can end the hand by giving up half your original bet. At a stake of 10 units the dealer keeps 5 and returns 5. The net result is a loss of 5. The decision is whether keeping the hand would lose more than that on average.
Surrender is generally an option on the original two cards, before asking for a card, standing, doubling or splitting. Check the rules of the table for the exact window. A hand that reaches 16 on its third card can have the same total as 10+6 and still be ineligible. The eligibility question comes before any calculation about the strength of the hand.
Early and late refer to how the wager settles
With early surrender, the half loss stands even if the dealer turns over a blackjack. A table may limit the dealer upcards against which it offers this option. With late surrender, a dealer blackjack takes the full original bet on the non-natural hands discussed here. When the dealer has checked and does not have blackjack, surrender costs half. Against an upcard of 2 through 9 a dealer natural is already ruled out by the visible card.
Watch for a procedure that accepts the declaration first and settles it later. Section 8 of the Massachusetts Gaming Commission blackjack rules provides an example. Against an ace or ten-value card the table can hold the wager until the second card is known. The dealer takes the whole wager if it is a blackjack and half otherwise. The timing of the declaration alone would give the wrong answer about the price of surrender.
The table below assumes a peek when the dealer shows an ace or ten-value card. In a game that deals the dealer’s second card after player actions, read what happens to money added by splitting or doubling if the dealer makes a natural. The decision table relies on knowing that this branch has been removed. Rules about which additional wagers can be lost are covered in the guide to peek and no-peek games.
Compare the best available action with −0.50
Use one original bet as the unit and count net profit. Taking back half the stake is a return of 0.50 but a net result of −0.50. Compare that with the greatest expected value, or EV, among the legal ways to continue. The comparison includes taking a card and then playing the resulting hand, standing, doubling if allowed, and splitting if the two cards form an eligible pair. At exactly −0.50 the actions tie on expectation.
For a hand played at the original stake, with wins and losses paying one unit and a push returning the stake, write W for the win probability, T for the push probability and L for the loss probability. Then EV = W − L = 2W + T − 1. At a push probability of 4%, the win rate at the break-even point for surrender is 23%. A change in pushes changes the threshold. A double can win or lose two units, and a split may have several settled wagers, so the same win-rate shortcut cannot price those actions.
Here is another way to check the conditioning. Suppose a teaching example has a 25% chance of dealer blackjack before a peek and a continuation EV of −0.40 after a negative peek. On the original decision tree, that continuation is worth 0.25 × (−1) + 0.75 × (−0.40) = −0.55. An early surrender costing −0.50 beats it. A late surrender taken whenever the peek is negative has a pre-peek EV of 0.25 × (−1) + 0.75 × (−0.50) = −0.625, so in this example continuing after the negative peek is preferable. The probabilities here are chosen for the example.
Decision table for selected initial hands
S17 means the dealer stands on soft 17. H17 means the dealer takes another card on soft 17, a total of 17 with an ace counted as 11. The numbers below come from a replacement model, commonly called infinite deck. It assumes a peek, a 3:2 natural payout, doubling on any eligible first two cards including after a split, up to four hands from resplitting eights, and no surrender after splitting. EV is per original bet, conditional on no dealer blackjack. The EV shown belongs to the best continuation before surrender is considered.
| Your two cards | Dealer shows | S17 continuation EV | S17 decision | H17 continuation EV | H17 decision |
|---|---|---|---|---|---|
| Hard 15, non-pair | 10 | -0.5044 | Surrender | -0.5044 | Surrender |
| Hard 15, non-pair | A | -0.4800 | Hit | -0.5069 | Surrender |
| Hard 16, non-pair | 9 | -0.5093 | Surrender | -0.5093 | Surrender |
| Hard 16, non-pair | 10 | -0.5398 | Surrender | -0.5398 | Surrender |
| Hard 16, non-pair | A | -0.5171 | Surrender | -0.5421 | Surrender |
| Hard 17, non-pair | A | -0.4780 | Stand | -0.5156 | Surrender |
| 8 + 8 | 10 | -0.4807 | Split | -0.4807 | Split |
| 8 + 8 | A | -0.3725 | Split | -0.5242 | Surrender |
The decision for 10+6 against a ten follows from the fourth row. With S17, taking a card and then making the best available follow-up is worth about -0.5398 per initial unit, slightly better than standing. Surrender improves the expectation by about 0.04 units per initial unit in that situation. For the 10-unit example, the average loss falls by about 0.40 units. It is a comparison over repetitions of the same decision, while the actual loss on the surrendered hand is 5 units.
Move to the last row and the dealer rule can reverse the choice. Splitting eights creates two wagers and the table compares their combined net EV with the loss of half the original wager. The pair against an ace is a split in this S17 model and a surrender in H17 even though doubling after splitting is allowed. Changing the split limit or the dealer rule can alter the alternatives; read the pair row before looking up hard 16.
The published infinite-deck S17 returns give a separate check on the hit, stand and split figures. For a finite shoe, removing the visible cards changes the probabilities. The four-to-eight-deck strategy chart is a starting point for those rules. Some close hands also depend on which cards make the total, so use a matching composition table when you need that distinction. A fraction carried to four decimal places still belongs to the model that produced it.
What to check before using a surrender chart
Read the posted conditions for surrender and when it settles, then identify the dealer’s soft-17 rule, the deck count and the available split and double actions. At a physical table, ask how to declare the action before touching cards or chips. In a digital game, confirm the rule in its help screen and use the action only when it is offered on the hand. If surrender is unavailable, the comparison starts with the legal continuation actions. The basic strategy guide explains how to read the rest of a matching chart.
