MaShuai
MaShuai
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Joined: Dec 16, 2012
July 12th, 2023 at 9:17:39 PM permalink
Noticed a Lucky 7 side bet at Altira Macau. Would anyone happen to know the house edge?

Believe the Blackjack game is 6 decks. The odd thing is that it pays nothing if you get a single 7. Here's the pay table

Unsuited Pair of 7s 50 to 1
Suited Pair of 7s 150 to 1
3rd card is a different suit of 7 500 to 1
3rd card is the same suit of 7 5000 to 1

For the 3 card Lucky 7s, the 7s need to be split.

Thanks for your help in advance.
You got to play the hand that's dealt you, that's what the old man always said.
DmitriRabinovic
DmitriRabinovic
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July 13th, 2023 at 1:32:26 AM permalink
I did some small calculations for the house edge of the Lucky 7 side bet at Altira Macau:

The probability of getting an unsuited pair of 7s is (32/311) * (16/310) = 0.1654%.
The probability of getting a suited pair of 7s is (8/311) * (7/310) = 0.0580%.
The probability of getting a 3rd card of a different suit of 7 is (32/311) * (16/310) * (280/309) = 0.1431%.
The probability of getting a 3rd card of the same suit of 7 is (8/311) * (7/310) * (6/309) = 0.0011%.

To calculate the house edge, we need to subtract the sum of these probabilities from 1, and then multiply by the corresponding payouts:

House edge = (1 - (0.001654 + 0.000580 + 0.001431 + 0.000011)) * (50 + 150 + 500 + 5000)
MaShuai
MaShuai
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Joined: Dec 16, 2012
July 13th, 2023 at 7:22:55 AM permalink
Dmitri, after doing the math you laid out, I get (-19.9532). So are you saying it's a house edge of 19.9532%?
You got to play the hand that's dealt you, that's what the old man always said.
MaShuai
MaShuai
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Joined: Dec 16, 2012
August 5th, 2023 at 9:10:33 AM permalink
MGM casinos in Macau are also rolling out this Lucky 7 side bet. They have one slightly different rule compared to the the Melco casinos.

For the 3 card Lucky 7's, the 3rd 7 can come after a hit or a split.

How would this change the house edge?
You got to play the hand that's dealt you, that's what the old man always said.
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