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TRIPLE SEVENS BLACKJACK

Progressive Blackjack has the same rules and strategy as multi-hand blackjack except only one hand may be played at a time and there is a mandatory $1 Triple Sevens side bet. The following table shows the probability and return of each paying side bet hand. Wins for three sevens must be based on the first three cards and in the same hand. Thus splitting will void the chance for a three sevens win.

Microgaming Triple Sevens Side Bet
Hand Permutations Probability Pays Return
1 seven 1238400 0.07128 5 for 1 0.3564
2 unsuited 7's 72000 0.004144 25 for 1 0.103605
2 suited 7's 19200 0.001105 50 for 1 0.055256
3 unsuited 7's 6600 0.00038 250 for 1 0.094971
3 suited 7's 180 0.00001 1000 for 1 0.01036
3 diamond 7's 60 0.000003 Progressive 0.142377
Non-paying hand 16037280 0.923077 0 0
Total 17373720 1 ?

The house edge on the side bet is 37.94%, less 3.45% for every $10,000 in the meter. For the side bet to have no house edge the meter would need to reach $109,862. On December 19, 2003, the meter at the Grand Hotel casino was at $16,852.

The basic strategy is the same for this game as multi-hand blackjack except when the player has two sevens and the dealer has a 7 or less. Normally the strategy advises splitting, which in this game will avoid a three sevens win. In most cases the player should hit any two sevens. If the player's bet is $42 or less then he should always hit two sevens. Otherwise the following lists show the lowest blackjack bet at which the player should split.

Player has unsuited sevens:

  • Dealer has 2: $97
  • Dealer has 3: $73
  • Dealer has 4: $58
  • Dealer has 5: $54
  • Dealer has 6: $43
  • Dealer has 7: $75

Player has suited sevens (except diamonds):

  • Dealer has 2: $149
  • Dealer has 3: $112
  • Dealer has 4: $89
  • Dealer has 5: $82
  • Dealer has 6: $66
  • Dealer has unsuited 7: $118
  • Dealer has suited 7: $103

Player has diamond sevens:

  • Dealer has 2: $80.67 plus 0.071707 times jackpot meter
  • Dealer has 3: $60.71 plus 0.053968 times jackpot meter
  • Dealer has 4: $47.77 plus 0.042464 times jackpot meter
  • Dealer has 5: $44.19 plus 0.039283 times jackpot meter
  • Dealer has 6: $35.3 plus 0.031377 times jackpot meter
  • Dealer has unsuited 7: $74.78 plus 0.058653 times jackpot meter
  • Dealer has 7 of diamonds: $74.78 plus 0.039102 times jackpot meter

Let's look at a couple examples. Suppose the player bet $200 and got two seven of spades against a dealer 2. The player should split because his bet is greater or equal to $149. Secondly, suppose the player bet $500 and got two seven of diamonds against a dealer 4 and the jackpot meter is at $20,000. Multiplying $20,000 by 0.042464 and adding $47.44 we get $897. The players bet is under this amount so the player should hit.


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