Students at Rolling Hills High School receive an achievement award for either performing community service or making the honor roll. The school has 500 students and 180 of them received the award. There were 125 students who performed community service and 75 students who made the honor roll. What is the probability that a randomly chosen student at Rolling Hills High School performed community service and made the honor roll?
[list=1] [*]Define the sample space and state its number of outcomes. [*]Define events that are associated with the numbers in the problem and state their probabilities. [*]Write the Addition Rule and solve it for [math]P[/math]([math]A[/math] and [math]B[/math]), which is the probability of the event “performed community service and made the honor roll.” [math]P[/math]([math]A[/math] and [math]B[/math]) can also be written [math]P[/math]([math]A \cap B[/math]). [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.