On the Come

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An “on the come” scenario is a situation in which the player hasn’t made their hand. In other words, they are holding a drawing hand that they hope will improve on later streets.
For example, several players are left in the game after the flop, with one of them having an open-ended straight flush draw. The player with this hand is “on the come,” as they have implied odds for the bet on the turn or the river.