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12.3 Introduction to Probability Algebra 2 DICE: Question 1: What are the chances of rolling 2 dice, and getting a sum of 8 ? Step 1: Determine the SAMPLE SPACE. ( How many total outcomes exist when 2 dice are rolled?) Step 2: How many of these outcomes give a sum of 8? Step 3: Determine your chances, using theoretical probability: Question 2: What is the probability of rolling 2 dice, and getting a sum other than 8? Question 3: What do you notice about P (Sum of 8) and P (Sum not 8)? these two events are ____________________ Find the probability of the following events: 1.) The total is 10 _______ 2.) The total is at least 9 ______ 3.) The total is at most 7 _______ 4.) The total is between 3 and 7_______ 5.) The total is 13 _______ 6.) The total is less than or equal to 12 ______ ______ ! PROBABILITY ! ________ ODDS: Odds measures the ratio of the chances in favor of the event occurring to the chances against the event occurring. Find the odds of rolling a sum of 8________ Find the odds of rolling a sum that exceeds 10_______ Find the odds of rolling doubles._______ 12.3 Introduction to Probability Algebra 2 1.) What is the probability of drawing jack from a standard 52-card deck? 2.) Find the probability of not getting a jack. 3.) Find the probability of drawing a jack or a spade. 4.) Find the probability of drawing a jack of spades. 5.) Find the odds of drawing an ace. Using Permutations and Combinations You put a CD that has 8 songs in your CD player. You set the player to shuffle the songs. The player plays all 8 songs without repetition. a.) What is the probability that the songs are played in the original order they were listed on the CD? b.) You have 4 favorite songs on the CD. What is the probability that 2 of your favorite songs are played first, in any order? Geometric Probability You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. P (10 points) = P(0 Points)= Homework: p.719 #18-34 all, 37-41 all 12.3 Introduction to Probability Algebra 2