Introduction
Blackjack switch is a blackjack variant which allows the player to do what is normally considered a classic cheating manoeuver, trading cards between two hands. The player must make two bets of equal size and is allowed to switch the second card dealt to each hand. Of course nothing comes free, a dealer 22 results in a push and blackjacks pay even money. Currently the game is played at
Playtech Internet casinos and various casinos in Las Vegas and Russia.
Rules
- All rules are based on conventional blackjack unless otherwise noted.
- Six or eight decks are used.
- Dealer usually hits a soft 17. I hear in Ontario, Canada, the dealer stands on soft 17.
- The player must make two bets of equal size.
- Cards will be dealt face up.
- Dealer will peek for blackjack with an ace or ten up. If the dealer has a blackjack all player hands will immediatley lose, except a player blackjack will push.
- The player may switch the second card dealt to each hand. For example, if one hand has 5,10 and the other has 10,6, the player may switch the 10 and 6 to have two hands of 11 and 20. The player may also switch cards to form a blackjack.
- If the player switches to a blackjack, it counts as 21 points.
- Player may double on any 2 cards.
- Player may double after a split.
- Player may resplit up to four hands.
- Winning player blackjacks pay even money.
- A dealer total of 22 will push against any player total of 21 or less. A player blackjack will still beat a dealer 22.
Russian Rules: Same as the rules above, except early surrender allowed (sometimes not against an ace), dealer does not take a hole card, and dealer stands on soft 17.
Strategy
The following tables show the basic strategy under the 8-deck Las Vegas rules after the switch decision has been made. The reason for the differences compared to conventional blackjack strategy is the push on 22 rule.
If 6 decks are used the player should double 9 against a 5.
At this time I have not created a strategy for the Russian rules or Ontario rules.
The switch decision is more complicated. Most of the time it will be obvious. The following tables can be used to determine whether or not to switch in any situation under the Las Vegas/Playtech rules. The player hand is along the left column and the dealer's up card is along the top row. To use the table add the expected values by switching and not switching and play the pair of hands with the greater expected value. An example follows the table.
Switching Strategy - Las Vegas Rules Player 2 3 4 5 6 7 8 9 10 A 5 -0.2695 -0.1883 -0.1509 -0.1121 -0.0723 -0.1566 -0.2219 -0.2979 -0.3448 -0.3484 6 -0.2832 -0.2004 -0.1626 -0.1236 -0.0823 -0.1891 -0.252 -0.325 -0.3696 -0.3732 7 -0.2551 -0.1721 -0.1347 -0.0954 -0.0561 -0.1166 -0.2558 -0.3266 -0.3607 -0.3908 8 -0.1694 -0.0884 -0.0528 -0.0172 0.0178 0.0347 -0.1049 -0.2526 -0.2918 -0.3059 9 -0.0721 0.0075 0.0384 0.0715 0.1334 0.1245 0.0534 -0.0956 -0.1957 -0.1669 10 0.0593 0.2213 0.2792 0.3386 0.394 0.2704 0.1697 0.0722 -0.0185 -0.0088 11 0.1728 0.3313 0.3851 0.4401 0.4926 0.3362 0.2296 0.115 0.0734 0.0639 12 -0.3561 -0.3005 -0.2783 -0.2538 -0.2108 -0.2482 -0.3055 -0.3722 -0.4086 -0.4128 13 -0.4026 -0.3439 -0.2989 -0.2551 -0.211 -0.3021 -0.3553 -0.413 -0.4507 -0.4544 14 -0.4389 -0.3436 -0.2993 -0.2553 -0.211 -0.3526 -0.3977 -0.4552 -0.4901 -0.4933 15 -0.4382 -0.3436 -0.2993 -0.2556 -0.2117 -0.3946 -0.4406 -0.4943 -0.5267 -0.5297 16 -0.4385 -0.3442 -0.2998 -0.2561 -0.2131 -0.4348 -0.4774 -0.5272 -0.5575 -0.5605 17 -0.3081 -0.2175 -0.1767 -0.1382 -0.0984 -0.1731 -0.4444 -0.4789 -0.4751 -0.5677 18 -0.0416 0.0406 0.0709 0.1022 0.1315 0.3343 0.0442 -0.2419 -0.2324 -0.2772 19 0.2264 0.2986 0.3187 0.3439 0.3618 0.551 0.5318 0.2277 0.0103 0.1376 20 0.4829 0.5466 0.5594 0.5752 0.5873 0.7077 0.7307 0.7001 0.5009 0.5472 A,2 -0.0895 -0.0208 0.0105 0.0432 0.0766 0.0754 0.0106 -0.0749 -0.1428 -0.1378 A,3 -0.1226 -0.0444 -0.0118 0.0216 0.0564 0.0338 -0.0248 -0.1098 -0.1761 -0.1713 A,4 -0.1462 -0.0659 -0.0336 0.0006 0.0365 -0.0054 -0.0665 -0.1478 -0.2102 -0.2061 A,5 -0.1673 -0.0863 -0.0531 -0.0185 0.0217 -0.047 -0.1061 -0.1849 -0.2453 -0.2412 A,6 -0.1471 -0.0658 -0.0327 0.0068 0.0745 0.0037 -0.1189 -0.1911 -0.2399 -0.2628 A,7 -0.0401 0.0439 0.0752 0.1168 0.1779 0.3364 0.0473 -0.1433 -0.1884 -0.2023 A,8 0.2272 0.302 0.3222 0.3463 0.3634 0.5518 0.5353 0.2311 0.0049 0.1355 A,9 0.4837 0.5492 0.5609 0.5767 0.5884 0.709 0.731 0.7025 0.4974 0.551 A,10 1 1 1 1 1 1 1 1 1 1 A,A 0.1795 0.3383 0.3923 0.4474 0.5018 0.3487 0.2428 0.1265 0.0717 0.0155 2,2 -0.2548 -0.1748 -0.1389 -0.0831 0.0147 -0.1101 -0.1933 -0.272 -0.3204 -0.3247 3,3 -0.2833 -0.2013 -0.1622 -0.1101 -0.0103 -0.1661 -0.252 -0.3249 -0.3696 -0.3733 4,4 -0.1692 -0.0884 -0.0522 -0.016 0.0196 0.0359 -0.1041 -0.2525 -0.2912 -0.3049 5,5 0.0603 0.2224 0.2808 0.3429 0.4005 0.2739 0.1705 0.0719 -0.0186 -0.0086 6,6 -0.3571 -0.3004 -0.2599 -0.1645 -0.0624 -0.2517 -0.3083 -0.3741 -0.4106 -0.4142 7,7 -0.4369 -0.285 -0.1968 -0.1061 -0.0102 -0.1829 -0.4016 -0.46 -0.4962 -0.4984 8,8 -0.2984 -0.0946 -0.0146 0.0627 0.1461 0.1814 -0.1555 -0.5026 -0.5576 -0.5595 9,9 -0.0401 0.0417 0.0988 0.173 0.2442 0.3359 0.122 -0.1844 -0.2297 -0.2738 10,10 0.4829 0.5466 0.5594 0.5752 0.5873 0.7077 0.7307 0.7001 0.5009 0.5472
Example:Hand 1 is Q7, hand 2 is 9J, and the dealer is showing a 2. The player can not switch and have a 17 and 19, or switch and have a 20 and 16. The value of a 17 and 19 is -0.3081+.2264 = -0.0817. The value of a 20 and 16 is 0.4829-.4385=+0.0444. So, in this case, the 20 and 16 is better, so the player should switch.
The switching strategy based on the Las Vegas rules table is only wrong in 548 cases out 100,000, the probability of a mistake is 0.37% and these mistakes would increase the house edge by a negligible 0.0002%. There are about 300 differences between the switching strategies for Playtech and Las Vegas rules, most of them when the dealer is showing a 6, 10, or an ace, but none when the dealer is showing an 8.
Strategy Calculator
My
Blackjack Switch calculator, courtesy of Jing Ding, will advise when to switch in any situation. The calculator is based on the Playtech rules and an infinite deck assumption.
House Edge
Under the standard Las Vegas rules, with six decks, the dealer hits a soft 17, and a switched blackjack counts as 21 points, the house edge is 0.58%. Follow are the effects on the house edge of some rule variations.
- Eight decks: +0.02%
- Switched blackjack automatically wins: -0.40%
- Blackjack automatic winner: -0.21%
- Dealer stands on soft 17: -0.30%
The house edge under the Russian rules is 0.20%, assuming early surrender against an ace is allowed.
Side Bet
There is also a Super Match side bet based on the player's initial four cards. The following table shows the pay table, probability, and return of each hand.
Super Match Side Bet Hand Combinations Probability Pays Return Pair 136401408
0.352205 1
0.352205 3 of a kind
7577856
0.019567 5
0.097835 2 pair 5941728
0.015342 8 0.122738 4 of a kind 138138
0.000357
40
0.014268
Nothing
237219840 0.612530 -1 -0.612530 Total
387278970 1
-0.025485
The lower right cell shows a house edge on the side bet of 2.55%.
Methodology
Normally I do all my own analysis on this site. However, Blackjack Switch is a very difficult game and in this case I am relying mostly on the work of a college professor in England who wishes only to be known by his initials of GM. I would like to thank GM for his contributions on this game.