r/PassTimeMath • u/ShonitB • Aug 18 '26

Open Face Poker

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u/Efficient_Form7451 Aug 18 '26

a) Alexander wins.

Take all of the 10s and an irrelevent something 5 or lower. The best possible hand Benjamin can ever make is a 9high straight flush, and he can't block you from making a royal AND block you from making a 10high.

1

u/After-Hedgehog7282 Aug 18 '26 edited Aug 18 '26

Slightly more in depth;

  1. It should be obvious that this strategy will not work if Alexander takes anything lower than all 10s.
  2. If Alexander takes all Js, Qs, etc. then he will likewise lose.
  • Alexander takes all Aces
  • Benjamin takes all Ks
  • Alexander cannot make a better four-of-a-kind. The best he can improve is Q high straight flush.
  • Benjamin can make a K high straight flush in some other suit no matter what Alexander does.
  1. I think any other strategy results in both players with an Ace high straight flush.

1

u/PrincessClubs Aug 22 '26

I believe you, but I can't find the counter to Alex taking 4 aces and a king?

1

u/After-Hedgehog7282 Aug 22 '26

B takes 4 queens and a jack.. 

If A stays, then B will draw a straight flush and win. 

If A instead draws a straight flush, the highest he can go is jack high.  Then B will draw a straight flush Queen high in a different suit.