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Lottery mathematics is used to calculate probabilities of winning or losing a lottery game. It is based primarily on combinatorics, particularly the twelvefold way and combinations without replacement. It can also be used to analyze coincidences that happen in lottery drawings, such as repeated numbers appearing across different draws. [1
Lottery paradox: If there is one winning ticket in a large lottery, it is reasonable to believe of any particular lottery ticket that it is not the winning ticket, but it is not reasonable to believe that no lottery ticket will win. Raven paradox: (or Hempel's Ravens): Observing a green apple increases the likelihood of all ravens being black.
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
With very few exceptions, all U.S. and Canadian games where five regular numbers are drawn from the same pool have had a lump sum jackpot/grand prize, hence the word Cash is used as part of the name of several such games. Except where noted, all current pick-5 games listed here cost $1 per play.
Although the first published statement of the lottery paradox appears in Kyburg's 1961 Probability and the Logic of Rational Belief, the first formulation of the paradox appears in his "Probability and Randomness", a paper delivered at the 1959 meeting of the Association for Symbolic Logic, and the 1960 International Congress for the History and Philosophy of Science, but published in the ...
A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, canonical form, or canonical ordering). The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes.
Six-number games historically are the most popular kind of lottery in the U.S., although "5+1" games have grown in popularity, especially with the rise of multi-state games. The Canadian Lotto 6/49 is one of its two national lottery games. Typically, six-number games cost $1 per play. and most are drawn twice weekly, often Wednesdays and Saturdays.
Lottery wheeling (also known as a lottery system, lottery wheel, or lottery wheeling system) is a method of systematically selecting multiple lottery tickets to improve the odds of (or guarantee) a win. It is widely used by individual players and syndicates to secure wins provided they hit some of the drawn numbers.