Explain :
(1) Mutually exclusive events.
(2) Sample space
(3) Independent events
(4) Equally likely cases.
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(1) Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.
(2) In probability theory, sample space (also called sample description space or possibility space) of an experiment or random trial is the set of all possible outcomes or results of that experiment. A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set.
(3) An independent event is an event that has no connection to another event's chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. ... When two events are independent, one event does not influence the probability of another event.
(4) Equally likely events are events that have the same theoretical probability (or likelihood) of occurring. ... Getting an even number on the toss of a die and getting an odd number on the toss of a die are equally likely events, since the probabilities of each event are equal.
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