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non-associativity of heads-up matches
Hi a lot of you have probably seen this curious fact regarding the three hands:
{A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]}, {7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} and {2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]}. In a heads up match: {A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]} is favoured over {7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} (57.91% to win) {7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/spade.gif[/img]} is favoured over {2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]} (52.33% to win) but {2[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/diamond.gif[/img]} is favoured over {A[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img]} (52.34% to win) Does anyone know other interesting cases (not trivially similar to the above) where given three hands A, B, and C. A>B, B>C, but C>A? Thanks. Just curious. |
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