Probability of Three of a Kind in a 5-Card Hand
A standard 52-card deck has 13 ranks (Ace through King) and 4 suits. A five-card hand is a **three-of-a-kind** if it contains exactly 3 cards of one rank and exactly 1 card each of two other distinct ranks (not a full house, not four-of-a-kind).
To the nearest ten-thousandth, what is the probability that a randomly dealt 5-card hand is a three-of-a-kind?
Open the full interactive solver, hints, and worked solution →