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Hand - The cards a player holds.
Hard Count - Counting hard money, as opposed to chips.
Hard Hand - In Blackjack, any hand that doesn't contain an ace valuing 11.
Hard Way Bet - In Craps, a bet, which tries to predict the total of both dice on doubles.
High Poker - Standard poker. Poker in which high hands win. Opposite of Low Poker.
High Roller - A player wagering large amounts of money.
Hit - To take another card.
Hold Your Own - Breaking even. Neither winning nor losing.
Hole Card - In Blackjack, the card the dealer receives face down. Any card dealt face down.
Horn Bet - In Craps, a one-roll bet combining 2, 3, 11, and 12.
Hot - To be hot is to be on a winning streak.
House - Another name for casino, dealer, or banker.