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7's Blackjack Side Bet

Introduction

The 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.

7s_Blackjack_Side_Bet

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.

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

Written by: Michael Shackleford