I am trying to calculate some probabilities for a card game. Players have to draw 3 cards each time and the cards must add up to a certain value for them to win - the value changes depending on the stage of the game.
Is there a formula I can use to calculate the probabilities of drawing ≥ certain values - ≥12, ≥18 and so on? Players are drawing without replacement from a standard 52-card deck, no jokers. Aces, kings, queens, and jacks do not have a numerical value, so players are effectively drawing cards with values 2-10.