MaShuai
• Posts: 33
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.

You got to play the hand that's dealt you, that's what the old man always said.
DmitriRabinovic
• Posts: 1
Joined: Jul 13, 2023
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
• Posts: 33
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