If S is a finite sample space and A is an event in S, then the probability of Aeequals____.
To complete the statement, “If is a finite sample space and is an event in , then the probability of equals ______.”
The given is an event in a finite sample space .
Probability of an event in a finite sample space is given by such that
where, is the number of elements in and
is the number of elements in the sample space.
As given in the statement, let be an event in the sample space .
By the notation ,we define the complement of the event which is another event in the same sample space, contains all the outcomes not belong to the event .
Hence, the event and the event have no common outcomes. Therefore, these two events are mutually disjoint events.
Then we can obtain the number of elements of as follows.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started