If your ticket includes the first number you need to find the probability of matching the second number. All of these outcomes are equally good, so there is a 5 in 69 chance that the first ball drawn matches a number on your ticket. On the white balls, when the first ball is drawn there is a 1 in 69 chance that it matches the first number on your ticket, a 1 in 69 chance that it matches the second number, and so on. There is one correct match and 26 possible outcomes, making the probability 1/26. The probability of matching the red ball is simple. The outcome on the red ball has nothing to do with the white ball outcome, or vice versa. These are unrelated, or independent, events. The probability of matching all five white balls and the red ball is obtained by multiplying the probability of matching the five white balls by the probability of matching the red ball. To confirm that a ticket is a winner, please have the ticket validated through a sales terminal at any Minnesota Lottery retailer. The only official source for verifying winning numbers on a player’s ticket is through the Minnesota Lottery’s central computer system. The Minnesota Lottery attempts to ensure that the winning numbers and jackpot amounts are posted correctly. Remember that odds are the inverse of probability so if a formula has calculated the probability, you divide 1 by that number to get the odds. In the descriptions below, these theories are applied to Minnesota State Lottery games. A math textbook (such as 'Feller, An Introduction to Probability Theory and its Application') or your local library can probably supply you with information about probability theory. If we randomly draw r objects from this set, we want to know the probability that our draw will include exactly k objects of one of the two sets. The hypergeometric distribution applies to cases where a set of object is divided into two sets. The exceptions are Daily 3 and games that feature a fixed, predetermined number of tickets.

For most lotto games, the calculation of odds and probability uses a mathematical function called the hypergeometric distribution.

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