The participant (punto) and banker (banco) are only designations for The 2 palms dealt out in Just about every coup, two results which the bettor can back again; the player hand has no specific Affiliation with the gambler, nor the banker hand with your house.
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If neither the participant nor the banker is dealt a complete of 8 or nine in the 1st two playing cards (called a "natural"), the tableau is consulted, first for that participant's principles, then the banker's.
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