#1
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cute Gardner problem involving pseudo-poker
I saw this problem last night flipping through an old Martin Gardner book. I don't think it's very hard, but it's kinda fun, and I'll present a slightly more open-ended version of the question.
Two players A and B agree to play a game. They spread a normal 52 card deck face up. Player A first draws five cards, and then player B draws five cards. Following the initial draws, player A may discard any number of his cards that he chooses and draw from the remaining unchosen cards; his discards are out of play. Player B does likewise. Does either player have a winning strategy? If so, what is it? |
#2
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Re: cute Gardner problem involving pseudo-poker
I think the first player has to take all the tens and force the opponent to lose because A can now make the highest straight flush no matter what.
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#3
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Re: cute Gardner problem involving pseudo-poker
Nielso: Maybe change to white?
Nice ... looks right. <font color="white"> Player B would have to pick up say the jacks and other card won't matter. Player A will end up with a T high straight flush and Player B can only have 9 high. </font> |
#4
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Re: cute Gardner problem involving pseudo-poker
Player A. He gets to go first and since the deck is spread face up he draws akqjt of spades for the nut royal flush.
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#5
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Re: cute Gardner problem involving pseudo-poker
[ QUOTE ]
Player A. He gets to go first and since the deck is spread face up he draws akqjt of spades for the nut royal flush. [/ QUOTE ] And then player B draws AKQJT of one of the three remaining suits and they chop. OP asks for a winning strat, not break-even. Nielso seems to have nailed it. |
#6
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Re: cute Gardner problem involving pseudo-poker
ya I think he got it. I was thinking the spades would out rank since this is not a typical poker game.
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#7
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Re: cute Gardner problem involving pseudo-poker
i believe that's only in the deal for the button phase of poker.
playing 7 stud two royal flushes chop the pot. |
#8
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Re: cute Gardner problem involving pseudo-poker
Wait are there multiple draws? Reading the problem it seems like single draw. If player A draws all the tens, he is going to have 4 tens. And lose.
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#9
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Re: cute Gardner problem involving pseudo-poker
[ QUOTE ]
Wait are there multiple draws? Reading the problem it seems like single draw. If player A draws all the tens, he is going to have 4 tens. And lose. [/ QUOTE ] Reading comprehension? "Following the initial draws..." |
#10
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Re: cute Gardner problem involving pseudo-poker
The 4 tens is right.
It turns out 3 tens, and then the A and 9 in the suit in which you don't have a T also works, I believe. |
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