Section 6.2.1 Probability Models AP Statistics November 25, 2009 Berkley High School todd1@toddfadoir.com

AP Statistics, Section 6.2, Part 1 Sample Space The sample space S of random phenomenon is the set of all possible outcomes. AP Statistics, Section 6.2, Part 1

AP Statistics, Section 6.2, Part 1 Event An event is any outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space AP Statistics, Section 6.2, Part 1

AP Statistics, Section 6.2, Part 1 Probability Model A probability model is a mathematical description of a random phenomenon consisting of two parts: a sample space S and a way of assigning probabilities to events. AP Statistics, Section 6.2, Part 1

Multiplication Principle If you can do one task in a number of ways and a second task in b number of ways, then both tasks can be done in a·b number of ways. AP Statistics, Section 6.2, Part 1

Sample Space: Rolling 2 Dice 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 AP Statistics, Section 6.2, Part 1

Sample Space: Flipping a Coin and Rolling a Die AP Statistics, Section 6.2, Part 1

Sample Space: Flipping 3 Coins TTT TTH THT HTT THH HTH HHT HHH AP Statistics, Section 6.2, Part 1

Sample Space: Flipping 4 Coins TTTT TTTH TTHT THTT HTTT TTHH THTH THHT HTTH HTHT HHTT THHH HTHH HHTH HHHT HHHH AP Statistics, Section 6.2, Part 1

AP Statistics, Section 6.2, Part 1 Assignment Exercises: 6.11, 6.12, 6.14, 6.17, 6.18 AP Statistics, Section 6.2, Part 1