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.[br] [math]B[/math]: The name begins with a vowel.[br] [math]E[/math]: The name ends with a vowel.[br]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.[br][list][br][*][math]B[/math][br][*][math]E[/math][br][*][math]B∩E[/math] [br][*][math]B∪E[/math] [br][*][math]\overline{B}[/math][br][*][math]\overline{B∪E}[/math][br][/list]

[list=1][br][*]Draw a Venn diagram. Use a rectangle for the sample space. Use circles or elliptical shapes for the events [math]B[/math] and [math]E[/math].[br][*]List the outcomes of [math]B[/math].[br][*]List the outcomes of [math]E[/math].[br][*]List the outcomes of [math]B∩E[/math].[br][*]List the outcomes of [math]B∪E[/math].[br][*]List the outcomes of [math]\overline{B}[/math].[br][*]List the outcomes of [math]\overline{B∪E}[/math].[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.