In 6-card poker, played with a standard 52-card deck, 52 C6, or 20,358,520, different hands are possible. The probability of being dealt various hands is the number of different ways they can occur divided by 20,358,520. Shown to the right is the number of ways a particular type of hand can occur and its associated probability. Find the probability of not being dealt this type of hand. Number of Ways the Hand Can Occur Probability 624 624 20,358,520

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.