Copyright © 2011 Pearson, Inc. 9.3 Probability
Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Sample Spaces and Probability Functions Determining Probabilities Venn Diagrams and Tree Diagrams Conditional Probability Binomial Distributions … and why Everyone should know how mathematical the “laws of chance” really are.
Copyright © 2011 Pearson, Inc. Slide Probability of an Event (Equally Likely Outcomes)
Copyright © 2011 Pearson, Inc. Slide Probability Distribution for the Sum of Two Fair Dice OutcomeProbability 21/36 32/36 43/36 54/36 65/36 76/36 85/36 94/36 103/36 112/36 121/36
Copyright © 2011 Pearson, Inc. Slide Example Rolling the Dice Find the probability of rolling a sum divisible by 4 on a single roll of two fair dice.
Copyright © 2011 Pearson, Inc. Slide Example Rolling the Dice Find the probability of rolling a sum divisible by 4 on a single roll of two fair dice.
Copyright © 2011 Pearson, Inc. Slide Probability Function
Copyright © 2011 Pearson, Inc. Slide Probability of an Event (Outcomes not Equally Likely)
Copyright © 2011 Pearson, Inc. Slide Strategy for Determining Probabilities
Copyright © 2011 Pearson, Inc. Slide Strategy for Determining Probabilities
Copyright © 2011 Pearson, Inc. Slide Example Choosing Chocolates Dylan opens a box of a dozen chocolate cremes and offers three of them to Russell. Russell likes vanilla cremes the best, but all the chocolates look alike on the outside. If five of the twelve cremes are vanilla, what is the probability that all of Russell’s picks are vanilla?
Copyright © 2011 Pearson, Inc. Slide Example Choosing Chocolates If five of the twelve cremes are vanilla, what is the probability that all of Russell’s 3 picks are vanilla?
Copyright © 2011 Pearson, Inc. Slide Multiplication Principle of Probability Suppose an event A has probability p 1 and an event B has probability p 2 under the assumption that A occurs. Then the probability that both A and B occur is p 1 p 2.
Copyright © 2011 Pearson, Inc. Slide Example Choosing Chocolates Dylan opens a box of a dozen chocolate cremes and offers three of them to Russell. Russell likes vanilla cremes the best, but all the chocolates look alike on the outside. If five of the twelve cremes are vanilla, what is the probability that all of Russell’s picks are vanilla?
Copyright © 2011 Pearson, Inc. Slide Example Choosing Chocolates
Copyright © 2011 Pearson, Inc. Slide Conditional Probability Formula
Copyright © 2011 Pearson, Inc. Slide Binomial Distribution
Copyright © 2011 Pearson, Inc. Slide Binomial Distribution
Copyright © 2011 Pearson, Inc. Slide Example Shooting Free Throws Suppose Tommy makes 92% of his free throws. If he shoots 15 free throws, and if his chance of making each one is independent of the other shots, what is the probability that he makes all 15?
Copyright © 2011 Pearson, Inc. Slide Example Shooting Free Throws Suppose Tommy makes 92% of his free throws. If he shoots 15 free throws, and if his chance of making each one is independent of the other shots, what is the probability that he makes all 15?
Copyright © 2011 Pearson, Inc. Slide Example Shooting Free Throws Suppose Tommy makes 92% of his free throws. If he shoots 15 free throws, and if his chance of making each one is independent of the other shots, what is the probability that he makes exactly 10?
Copyright © 2011 Pearson, Inc. Slide Example Shooting Free Throws Suppose Tommy makes 92% of his free throws. If he shoots 15 free throws, and if his chance of making each one is independent of the other shots, what is the probability that he makes exactly 10?
Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions