Eg: if player 1 has 444 full of AA and player 2 has 888 and 44 , which is best hand , highest card or highest trips ?
The winner is always the best 5-card hand. So, in the case of a Full House, it goes by the 3-of-a-kind first, then the pair.
444AA vs.88844 888 is higher than 444, so ‘88844’ is the high hand here. The only time the pair matters is if both players have the same 3-of-a-kind. For example:
444AA vs. 44488 (444 is on the board, Player 1 has pocket AA, Player 8 has pocket 88). Since both players share the 444, the tie-breaker is the pair they use. AA beats 88, so Player 1 would win here having 444AA as their best 5-card hand.