kingcreights
kingcreights
Joined: Mar 11, 2014
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April 28th, 2021 at 5:45:51 PM permalink
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
zbrownson
zbrownson
Joined: Jul 2, 2020
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April 28th, 2021 at 7:43:13 PM permalink
Excluding any ante bonus that might get paid, the house edge would be ~21.2%

Prob < Q Prob >= Q
0.3041 0.6959
player < Qdealer < Q0.0924768100 (dealer pushes without Q or higher)
player >= Qdealer < Q0.2116231900(dealer pushes without Q or higher)
player < Qdealer >= Q0.21162319 -1 -0.2116 (player always loses)
player >= Qdealer >= Q0.4842768100(player and dealer have equal chance to win)
kingcreights
kingcreights
Joined: Mar 11, 2014
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April 28th, 2021 at 10:01:27 PM permalink
Thanks for that,
ssho88
ssho88
Joined: Oct 16, 2011
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Thanks for this post from:
kingcreights
April 29th, 2021 at 4:19:30 AM permalink
I got HE = -21.6730508897503%

Edited
Last edited by: ssho88 on Apr 29, 2021
zbrownson
zbrownson
Joined: Jul 2, 2020
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April 29th, 2021 at 1:49:35 PM permalink
I didn't account for card removal so this is probably more accurate ^^^
ssho88
ssho88
Joined: Oct 16, 2011
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April 29th, 2021 at 5:41:57 PM permalink
Quote: zbrownson

I didn't account for card removal so this is probably more accurate ^^^



I agree, removal of low cards(< Q)will give slightly higher house edge. ^^^

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