Types of Events

Elementary Event

An elementary event is every one of the elements which forms the sample space.

For example, if a die is thrown, an elementary event would be a 4.

Compound Event

A compound event is any subset of the sample space.

For example, if a die is thrown, a compund event would be an even number or a multiple of 3.

Sure Event

The sure event, S, is formed by all possible results of the sample space.

For example, rolling two dice and obtaining a score of less than 13.

Impossible Event

The impossible event, Conjunto vacio, does not have an element.

For example, rolling a die and obtaining a score of 7.

Disjoint or Mutually Exclusive Events

Two events, A and B, are disjointed or mutually exclusive when they don´t have an element in common.

If outcome A is to obtain an even number from a die and B is to obtain a multiple of 5, A and B are mutually exclusive events.

Independent Events

Two events, A and B are independent if the probability of the succeeding event is not affected by the outcome of the preceeding event.

By rolling a die twice, the results are independent.

Dependent Events

Two events, A and B are dependent if the probability of the succeeding event is affected by the outcome of the preceeding event.

For example, two dependent events would be drawing two cards (one at a time) without returning them to the deck.

Complementary Event

The complementary event of A is another event that is realized when A is not realized. It is denoted by suceso contrario or A'.

For example, the complementary event of obtaining an even number when rolling a die is obtaining an odd number.





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