How would you explain to your boyfriend or girlfriend (I know they are intelligent people!) who have not studied probability at all the difference between mutually exclusive events and independent events? Illustrate your answer with easy to
understand examples.
Mutually exclusive events are events such that if one event occurs, the other event cannot occur. For example, a U.S. Senator voting in favor of a tax cut cannot also vote against it. Independent events are events such that the occurrence of one event has no effect on the probability of the other event. For example, whether or not you ate breakfast this morning is unlikely to have any effect on the probability of a U.S. Senator voting in favor of a tax cut.
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