m16840 Probability Topics: Practice II 1.10 2008/05/29 10:15:26 GMT-5 2009/02/18 19:24:19.981 US/Central Susan Dean Susan Dean deansusan@deanza.edu Barbara Illowsky Dr. Barbara Illowsky illowskybarbara@deanza.edu Susan Dean Susan Dean deansusan@deanza.edu Barbara Illowsky Dr. Barbara Illowsky illowskybarbara@deanza.edu Connexions Connexions cnx@cnx.org Maxfield Foundation Maxfield Foundation cnx@cnx.org elementary exclusive independent mutually practice probability statistics Mathematics and Statistics This module allows students to practice using what they've learned about Probability. Students will apply their understanding of basic probability terms, calculate probabilities based on the data provided, and determine whether events are independent or mutually exclusive. en Download handout (.pdf) Download handout (.doc)

Students will define basic probability terms. Students will practice calculating probabilities. Students will determine whether two events are mutually exclusive or whether two events are independent.

Use probability rules to solve the problems below. Show your work.

68% of Californians support the death penalty. A majority of all racial groups in California support the death penalty, except for black Californians, of whom 45% support the death penalty (Source: San Jose Mercury News, 12/2005). 6% of all Californians are black (Source: U.S. Census Bureau). In this problem, let: C = Californians supporting the death penaltyB = Black Californians Suppose that one Californian is randomly selected.

P ( C ) = 0.68 P ( B ) = 0.06 P ( C | B ) = 0.45 In words, what is " C | B "? P ( B  AND  C ) = 0.027 In words, what is “B and C”? Are B and C independent events? Show why or why not. No P ( B  OR  C ) = 0.713 In words, what is “B or C”? Are B and C mutually exclusive events? Show why or why not. No