Blackjack expectations for splitting cards without doubling the stake
| Card | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A | Sum |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Count: |   | | | | | | | | | | {$ sgtb.cards_total $} |
| Distribution: | {$ sgtb.cards_dist.card_2 $}% | {$ sgtb.cards_dist.card_3 $}% | {$ sgtb.cards_dist.card_4 $}% | {$ sgtb.cards_dist.card_5 $}% | {$ sgtb.cards_dist.card_6 $}% | {$ sgtb.cards_dist.card_7 $}% | {$ sgtb.cards_dist.card_8 $}% | {$ sgtb.cards_dist.card_9 $}% | {$ sgtb.cards_dist.card_10 $}% | {$ sgtb.cards_dist.card_1 $}% |
| DFH | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A |
|---|---|---|---|---|---|---|---|---|---|---|
| E(2-2) | {$ sgtb.split_teammate.exp_2.dfh_2 $} | {$ sgtb.split_teammate.exp_2.dfh_3 $} | {$ sgtb.split_teammate.exp_2.dfh_4 $} | {$ sgtb.split_teammate.exp_2.dfh_5 $} | {$ sgtb.split_teammate.exp_2.dfh_6 $} | {$ sgtb.split_teammate.exp_2.dfh_7 $} | {$ sgtb.split_teammate.exp_2.dfh_8 $} | {$ sgtb.split_teammate.exp_2.dfh_9 $} | {$ sgtb.split_teammate.exp_2.dfh_10 $} | {$ sgtb.split_teammate.exp_2.dfh_1 $} |
| E(3-3) | {$ sgtb.split_teammate.exp_3.dfh_2 $} | {$ sgtb.split_teammate.exp_3.dfh_3 $} | {$ sgtb.split_teammate.exp_3.dfh_4 $} | {$ sgtb.split_teammate.exp_3.dfh_5 $} | {$ sgtb.split_teammate.exp_3.dfh_6 $} | {$ sgtb.split_teammate.exp_3.dfh_7 $} | {$ sgtb.split_teammate.exp_3.dfh_8 $} | {$ sgtb.split_teammate.exp_3.dfh_9 $} | {$ sgtb.split_teammate.exp_3.dfh_10 $} | {$ sgtb.split_teammate.exp_3.dfh_1 $} |
| E(4-4) | {$ sgtb.split_teammate.exp_4.dfh_2 $} | {$ sgtb.split_teammate.exp_4.dfh_3 $} | {$ sgtb.split_teammate.exp_4.dfh_4 $} | {$ sgtb.split_teammate.exp_4.dfh_5 $} | {$ sgtb.split_teammate.exp_4.dfh_6 $} | {$ sgtb.split_teammate.exp_4.dfh_7 $} | {$ sgtb.split_teammate.exp_4.dfh_8 $} | {$ sgtb.split_teammate.exp_4.dfh_9 $} | {$ sgtb.split_teammate.exp_4.dfh_10 $} | {$ sgtb.split_teammate.exp_4.dfh_1 $} |
| E(5-5) | {$ sgtb.split_teammate.exp_5.dfh_2 $} | {$ sgtb.split_teammate.exp_5.dfh_3 $} | {$ sgtb.split_teammate.exp_5.dfh_4 $} | {$ sgtb.split_teammate.exp_5.dfh_5 $} | {$ sgtb.split_teammate.exp_5.dfh_6 $} | {$ sgtb.split_teammate.exp_5.dfh_7 $} | {$ sgtb.split_teammate.exp_5.dfh_8 $} | {$ sgtb.split_teammate.exp_5.dfh_9 $} | {$ sgtb.split_teammate.exp_5.dfh_10 $} | {$ sgtb.split_teammate.exp_5.dfh_1 $} |
| E(6-6) | {$ sgtb.split_teammate.exp_6.dfh_2 $} | {$ sgtb.split_teammate.exp_6.dfh_3 $} | {$ sgtb.split_teammate.exp_6.dfh_4 $} | {$ sgtb.split_teammate.exp_6.dfh_5 $} | {$ sgtb.split_teammate.exp_6.dfh_6 $} | {$ sgtb.split_teammate.exp_6.dfh_7 $} | {$ sgtb.split_teammate.exp_6.dfh_8 $} | {$ sgtb.split_teammate.exp_6.dfh_9 $} | {$ sgtb.split_teammate.exp_6.dfh_10 $} | {$ sgtb.split_teammate.exp_6.dfh_1 $} |
| E(7-7) | {$ sgtb.split_teammate.exp_7.dfh_2 $} | {$ sgtb.split_teammate.exp_7.dfh_3 $} | {$ sgtb.split_teammate.exp_7.dfh_4 $} | {$ sgtb.split_teammate.exp_7.dfh_5 $} | {$ sgtb.split_teammate.exp_7.dfh_6 $} | {$ sgtb.split_teammate.exp_7.dfh_7 $} | {$ sgtb.split_teammate.exp_7.dfh_8 $} | {$ sgtb.split_teammate.exp_7.dfh_9 $} | {$ sgtb.split_teammate.exp_7.dfh_10 $} | {$ sgtb.split_teammate.exp_7.dfh_1 $} |
| E(8-8) | {$ sgtb.split_teammate.exp_8.dfh_2 $} | {$ sgtb.split_teammate.exp_8.dfh_3 $} | {$ sgtb.split_teammate.exp_8.dfh_4 $} | {$ sgtb.split_teammate.exp_8.dfh_5 $} | {$ sgtb.split_teammate.exp_8.dfh_6 $} | {$ sgtb.split_teammate.exp_8.dfh_7 $} | {$ sgtb.split_teammate.exp_8.dfh_8 $} | {$ sgtb.split_teammate.exp_8.dfh_9 $} | {$ sgtb.split_teammate.exp_8.dfh_10 $} | {$ sgtb.split_teammate.exp_8.dfh_1 $} |
| E(9-9) | {$ sgtb.split_teammate.exp_9.dfh_2 $} | {$ sgtb.split_teammate.exp_9.dfh_3 $} | {$ sgtb.split_teammate.exp_9.dfh_4 $} | {$ sgtb.split_teammate.exp_9.dfh_5 $} | {$ sgtb.split_teammate.exp_9.dfh_6 $} | {$ sgtb.split_teammate.exp_9.dfh_7 $} | {$ sgtb.split_teammate.exp_9.dfh_8 $} | {$ sgtb.split_teammate.exp_9.dfh_9 $} | {$ sgtb.split_teammate.exp_9.dfh_10 $} | {$ sgtb.split_teammate.exp_9.dfh_1 $} |
| E(X-X) | {$ sgtb.split_teammate.exp_X.dfh_2 $} | {$ sgtb.split_teammate.exp_X.dfh_3 $} | {$ sgtb.split_teammate.exp_X.dfh_4 $} | {$ sgtb.split_teammate.exp_X.dfh_5 $} | {$ sgtb.split_teammate.exp_X.dfh_6 $} | {$ sgtb.split_teammate.exp_X.dfh_7 $} | {$ sgtb.split_teammate.exp_X.dfh_8 $} | {$ sgtb.split_teammate.exp_X.dfh_9 $} | {$ sgtb.split_teammate.exp_X.dfh_10 $} | {$ sgtb.split_teammate.exp_X.dfh_1 $} |
| E(A-A) | {$ sgtb.split_teammate.exp_A.dfh_2 $} | {$ sgtb.split_teammate.exp_A.dfh_3 $} | {$ sgtb.split_teammate.exp_A.dfh_4 $} | {$ sgtb.split_teammate.exp_A.dfh_5 $} | {$ sgtb.split_teammate.exp_A.dfh_6 $} | {$ sgtb.split_teammate.exp_A.dfh_7 $} | {$ sgtb.split_teammate.exp_A.dfh_8 $} | {$ sgtb.split_teammate.exp_A.dfh_9 $} | {$ sgtb.split_teammate.exp_A.dfh_10 $} | {$ sgtb.split_teammate.exp_A.dfh_1 $} |
This chart shows the expectations when the player has the possibility to split two cards without having to double the stake. Also check the default strategy for splitting cards.
One of the disadvantages when a player splits two cards is, that he has to bring in another stake of the same amount. Sometimes splitting certain combinations would increase the probability of achieving a higher final score, but bringing in another stake often eliminates that advantage, especially when the dealer has a good first hand. But players betting against the dealer on your box can, but must not bring in another stake, when the placeholder decides to splits his cards. A teammate player could therefore place high stakes on a box, whereas the placeholder of that box would place low stakes. In these situations, the teammate partner just divides his bet. According to the Blackjack rules, only the placeholder must bring in another stake .
In these situation the expectations for splitting cards as a teammate looks quite different. The expectations for teammate splitting have the same meaning as for default spltiing and are named E(A-A), E(2-2) through E(X-X).
This table is of rare interest as it can only be applied if two or more players attempt to beat the dealer as a team.
Example: If the player were to split 8-8 against the dealers Ace, he would multiply his stake in approximately {$sgtb.split_teammate.exp_8.dfh_1$} additional bets out of each one hundred games.
After the player splitted two cards, each bet shall be played according to the strategy as described in buy versus stay. If it is allowed to double after splitting, consider this double versus buy.
