House edge if 3 Card poker only had one bet
April 28th, 2021 at 5:45:51 PM
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If 3 card poker were completely simplified: Only one initial bet, there is only a result if dealer qualifies with a Q or above, when the dealer doesn’t qualify all bets are standoffs, and all winning bets are paid even money, could anyone tell me what the house edge would be?
Cheers
Kingcreights
Cheers
Kingcreights
April 28th, 2021 at 7:43:13 PM
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Excluding any ante bonus that might get paid, the house edge would be ~21.2%
| Prob < Q | Prob >= Q | ||||
|---|---|---|---|---|---|
| 0.3041 | 0.6959 | ||||
| player < Q | dealer < Q | 0.09247681 | 0 | 0 | (dealer pushes without Q or higher) |
| player >= Q | dealer < Q | 0.21162319 | 0 | 0 | (dealer pushes without Q or higher) |
| player < Q | dealer >= Q | 0.21162319 | -1 | -0.2116 | (player always loses) |
| player >= Q | dealer >= Q | 0.48427681 | 0 | 0 | (player and dealer have equal chance to win) |
April 28th, 2021 at 10:01:27 PM
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Thanks for that,
April 29th, 2021 at 4:19:30 AM
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I got HE = -21.6730508897503%
Edited
Edited
Last edited by: ssho88 on Apr 29, 2021
April 29th, 2021 at 1:49:35 PM
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I didn't account for card removal so this is probably more accurate ^^^
