First, let me briefly explain how the cards are dealt in blackjack. In U.S. casinos, the dealer will start a round of blackjack by dealing two cards in sequence to each player and two cards to herself. Before the players act on their hand, the dealer has both of her cards in front of her on the layout ─ one card is face up and the other is face down tucked under the face-up card (the face down card is also known as the dealer's hole card). If the dealer has an Ace face-up card, she will peek at her downcard, and if it's a ten, the dealer has blackjack and all players' wagers automatically lose, unless they, too, have a natural, in which case, it's a push. (In some casinos, the dealers will also peek at their hole card when their upcard is a ten-value card, but this is the exception rather than the rule.)

In many casinos outside the U.S., the dealer does not take her second card until after all the players have completed their hands. This is known as the "no hole card" rule. Some players mistakenly believe that the casino gets an extra advantage when the dealer receives her second card after players complete their hands (i.e., they believe the dealer is less likely to bust when the cards are dealt consecutively, rather than when the dealer's second, and possible additional draw cards, are dealt after the players have drawn their cards). Mathematically, it makes no difference in the long run whether the dealer takes her second card before players act on their hand, or she waits and takes the second card after the players act. The no hole card, per se, has no effect on the odds of the game, or on the basic playing strategy (so if you hold a 16, you play it the same way regardless if the dealer has a hole card or not).

What does affect your odds and your playing strategy in no-hole-card games is when a player loses both wagers made on splitting and doubling when the dealer's second card gives her a blackjack. The latter is known as the European No Hole Card rule (abbreviated ENHC), and this does require a slight change in playing strategy.

To be clear, let me give you an example of what happens if you are dealt a pair of eights in a U.S. casino vs. a non-U.S. casino that has the ENHC rule. Suppose you're on U.S. soil, you wager $10, and are dealt a pair of eights with the dealer showing a ten. You follow the basic playing strategy and make another $10 wager and split the eights (yes, that's the correct play). You receive a picture card to one eight, and another picture card to the other eight, and you stand on both 18s. Your fellow table players complete their hands, and then the dealer turns over her downcard, which unfortunately is an Ace, giving her a blackjack. Her blackjack beats both of your 18s. However, the dealer takes only your initial $10 wager, and the second wager you made when you split is a push (you still own it). Your net loss on this hand is $10.

Now let's suppose you get that same hand in a casino that has the ENHC rule. After you split your eights, the dealer's second card is an Ace giving her a blackjack. In this case, you lose your initial $10 wager, and also the second $10 wager that you made when you split. Your net loss on the hand is $20. Get the picture?

The above modification to the playing strategy for ENHC assumes surrender is not offered. If a casino has ENHC, and offers the players the option to surrender their hand when the dealer shows a ten upcard, then you should surrender 8-8 against a dealer 10 (rather than hit). (But that's not the only hand you should surrender vs 10. If you can surrender with the ENHC rule, you should also surrender all 14s, 15s, and 16s, whether pairs or not.)

Being able to surrender with ENHC is actually quite a favorable rule because you can surrender a poor hand even if the dealer winds up with blackjack. This surrender (known as early surrender) is quite different than the surrender offered in U.S. casinos where you can't surrender your hand if the dealer has a blackjack (remember in U.S. casinos, the dealer peeks, and if she has a blackjack, all the players' initial wagers on hands other than a natural automatically lose, and the round is over). Bottom line is that early surrender against a dealer 10 decreases the house edge by about 0.24 percent (rule dependent), which more than compensates for the slight increase in house edge caused by the ENHC rule. (Note: Besides being able to early surrender against a 10, some casinos will also allow you to early surrender against an Ace.)

To recap: it's no big deal if the rules don't allow the dealer to take a hole card, but it is a big deal if the casino takes both wagers on splits and doubles when the dealer has a blackjack. If the latter is the case, you need to modify your playing strategy (per the above table), and also take advantage of early surrender if it's allowed.