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7's Blackjack Side Bet

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Introduction

7s_Blackjack_Side_BetThe 7's is a side bet I have seen on electronic blackjack table games by Interblock. It bears a strong resemblance to the Blazing 7's side bet by Light & Wonder. Wins pay according to the sevens that appear in the player's first two cards and dealer's up card.

Rules

The following is the pay table. Only the highest win pays. The top two wins are based on the player's first two cards and the dealer's up card.

  • Suited 7-7-7 pays 200 to 1.
  • 7-7-7 pays 125 to 1.
  • Player's first two cards suited 7-7 pays 100 to 1.
  • Player's first two cards 7-7 pays 50 to 1.
  • Player's first card is a 7 pays 6 to 1.

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Analysis

The following table shows my analysis based on six decks. The lower right cell shows a house edge of 12.23%.

7's -- Six Decks

Event Pays Permutations Probability Return
7-7-7 suited 200 480 0.000016 0.003191
7-7-7 125 11,664 0.000388 0.048471
First two cards suited 7-7 100 34,560 0.001149 0.114894
First two cards 7-7 50 124,416 0.004136 0.206809
First card 7 6 2,142,720 0.071234 0.427405
All other -1 27,766,080 0.923077 -0.923077
Total   30,079,920 1.000000 -0.122306

The following table shows my analysis based on eight decks. The lower right cell shows a house edge of 11.59%.

7's -- Six Decks

Event Pays Permutations Probability Return
7-7-7 suited 200 1,344 0.000019 0.003761
7-7-7 125 28,416 0.000398 0.049697
First two cards suited 7-7 100 86,016 0.001203 0.120348
First two cards 7-7 50 294,912 0.004126 0.206310
First card 7 6 5,087,232 0.071177 0.427062
All other -1 65,975,040 0.923077 -0.923077
Total   71,472,960 1.000000 -0.115899

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