Masteroffolds
• Posts: 5
Joined: Apr 17, 2021
April 20th, 2021 at 2:08:27 AM permalink
Hi! Could anybody calculate this odds in three card poker?

1- odds of be dealt Q64 or better?

2-odds of be dealt Q64 or better, and be beaten by the dealer?

I cant find the correct way to calculate these odds.

ThatDonGuy
• Posts: 6414
Joined: Jun 22, 2011
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April 20th, 2021 at 8:42:24 AM permalink
I don't think there's an "easy" way to do it; you may have to just count all of the hands (there are 22,100 of them, and for each one, there are 18,424 possible dealer hands).

Somebody check my numbers, but I get this:
The 22,100 possible deals of your cards includes:
48 straight flushes
52 threes of a kind
1,096 flushes
720 straights
3,744 pairs
4,096 Ace high
3,456 King high
2,784 Queen high (Q64 or better)
This is a total of 14,900 hands of Q64 or better (67.4%).

Of these hands, the results are:
85,493,652 dealer folds (31.14%)
97,327,228 wins (35.45%)
91,374,160 losses (33.29%)
322,560 pushes (0.12%)
Last edited by: ThatDonGuy on Apr 20, 2021
Masteroffolds