The most familiar parlor games High-Hand-Wins poker,  
Hi-Lo poker and La Relance poker are discussed, 
under the situation where the players' hands are 
delivered by extremely non-uniform distributions.  
It is shown that if players' hands are distantly 
(closely) distributed from (to) the opponent's 
one, then they behave cautiously (boldly), when 
the amount of bet is not so small.