For a Gallup poll, #M# is the event of randomly selecting a male, and #R# is the event of randomly selecting a Republican. Are events #M# and #R# disjoint? Why or why not?
1 Answer
Jul 8, 2017
Those events are not disjoined. See explanation.
Explanation:
Two events are disjoined if and only if they cannot occur both at once.
Here the events are not disjoined because it is possible that the selected person is both a male and a Republican.
The possible disjoined events can be:
"selecting a Republican" and "selecting a Democrat".
In this example I assume there are no people who declare voting on two parties at once.
