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]

[list=1] [*]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]. [*]List the outcomes of [math]B[/math]. [*]List the outcomes of [math]E[/math]. [*]List the outcomes of [math]B∩E[/math]. [*]List the outcomes of [math]B∪E[/math]. [*]List the outcomes of [math]\overline{B}[/math]. [*]List the outcomes of [math]\overline{B∪E}[/math]. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.