Hector has entered the following names in the contact list of his new cell phone: Alicia, Brisa, Steve, Don, and Ellis. He chooses one of the names at random to call. Consider the following events.
[math]B[/math]: The name begins with a vowel.
[math]E[/math]: The name ends with a vowel.
Draw a Venn diagram to show the sample space and the events [math]B[/math] and [math]E[/math]. Then describe each of the following events by listing outcomes.
[list]
[*][math]B[/math]
[*][math]E[/math]
[*][math]B∩E[/math]
[*][math]B∪E[/math]
[*][math]\overline{B}[/math]
[*][math]\overline{B∪E}[/math]
[/list]
