Textbook ExpertVerified Tutor
25 Oct 2021
Given information
Roll two fair dice. Each die has six faces.
Let be the event that either a three or four is rolled first, followed by even number. Let be the event that sum of the two rolls is at most seven. Are the events and mutually exclusive?
Step-by-step explanation
Step 1.
The sample space when two far dice are rolled is:
,
.
The set of possible outcomes of the event are:
The set of possible outcomes of the event are:
Observe that these two events have some outcomes in common, e.g. .
Therefore, the events are not mutually exclusive.
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