and are two events from a sample space . The number of outcomes that lead to the occurrence of the event is 9,
the number of all possible outcomes of the random experiment is 33, , and .
Determine the probability of occurrence of the two events together.
The probability of event occurring is equal to the number of
favorable outcomes divided by the total number of possible
outcomes in the sample space, . First, find the probability of
event as follows:
The notation refers to the probability of either
event or event occurring, or both. If and are two
non-mutually exclusive events, then , where the notation refers to the probability of
events and occurring together. Now use this fact to
Thus, the probability of events and occurring together is .