The Department of Mathematics Education. EMAT 6700 J. Wilson


Finding Probabilities of Compound Events

Some events are expressed as the outcomes that are (a)complement event, or (b) disjoint events, or (c) intersection and union of events. We'll next see how to calculate probabilities for these three cases.


Complement of an Event

The complement of an event A consists of all outcomes in the sample space that are not in A. Ii is denoted as . The probability of relates to the probability of A by:


Disjoint Events

The two events, A and B, are disjoint if they do not have any common outcomes.


The Intersection and Union of Two Events.

The intersection of A and B consists of outcomes that are in both A and B.

The union of A and B consists of outcomes in A or B. We use "A or B" to denote that either A occurs, or B occurs, or both occur.

 


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