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Trip Lenahan Mr. Pricci Honors Geometry, Mod 8 30 May 2008 Jobs That Use Probability ► Insurance companies ► Professional card players ► Casino operators ► Athletes ► Sports Analysts ► Statistics keepers ► Secretaries ► Accountants ► Doctors What is Probability? ► Probability is the likelihood of something happening. ► Probability is expressed as a fraction as the number of desired outcomes over the number of possible outcomes. Two-Step Procedure To determine probability, one may use this two-step procedure: 1. Determine and count all logical possibilities 2. Determine and count all desired possibilities or “winners” Probability Formula The Probability Formula is as follows: Probability= number of winners number of possibilities Example of Probability #1 ► If there are 10 balls (7 red, 3 blue) then the likelihood of selecting a red ball on one attempt is 7/10. 7 10 red balls (winners) total balls (total possibilities) Example of Probability #2 Problem: If one of the four points is picked randomly, what is the probability that the point lies on the angle? Example of Probability #2 (cntd) ► To solve this problem, we first list all possibilities A B C D ► Then, we circle the winners A B C D Example of Probability #2 Solution Therefore the probability of the selected point being on the angle is: Winners Possibilities = 3 4 Practice Problem #1 If one of the four angles is selected randomly, what is the probability that the angle is acute? Practice Problem #1 Solution 50 60 90 Probability= 2 = 1 4 2 130 Practice Problem #2 If two points are selected randomly, what is the probability that both points are greater than 10, but less than 15? Practice Problem #2 Solution AB AC AD AE AF AG AH AI BC BD BE BF BG BH BI CD CE CF CG CH CI DE DF DG DH DI EF EG EH EI FG FH FI GH HI GI Probability= 6 = 1 36 6 Works Cited Probability. 1 January 1999. Math Goodies Online. 28 May 2008. <http://www.mathgoodies.com/lessons/vol6/intr o_probability.html>. Reed, Richard et al. Geometry; For Enjoyment and Challenge. Evanston, Illinois. 1991.