(The frequencies given are exact the probabilities and odds are approximate.) Note that the cumulative column contains the probability of being dealt that hand or any of the hands ranked higher than it. The odds are defined as the ratio (1/p) - 1 : 1, where p is the probability. The probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand by the total number of 5-card hands (the sample space, five-card hands). The following enumerates the (absolute) frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands.
