The events ' player 1 is dealt a pair of kings' and ' player 2 is dealt a pair of kings' are nonexclusive (they can both occur).

The event of dealing (3♣, 3♦) to a player is an elementary event.

In the experiment of dealing the pocket cards in Texas Hold'em Poker: In the experiment of rolling two dice one after another, the events obtaining '3' on the first die and obtaining '5' on the second die are independent because the occurrence of the first does not influence the occurrence of the second event, and vice versa.

Event are nonexclusive, because their intersection is not empty.

We find elementary and compound events, exclusive and nonexclusive events, and independent and non-independent events. From a mathematical point of view, the events are nothing more than subsets, and the space of events is a Boolean algebra. The occurrences could be defined however, when formulating a probability problem, they must be done extremely carefully. The technical processes of a game stand for experiments that generate aleatory events. From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.Įxperiments, events, and probability spaces

The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory. ( June 2023) ( Learn how and when to remove this template message)

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List of house edge on casino games