Topic: Probability Aim: How do we find the probability of compound events? Do Now: Three-course dinners can be made from the menu shown. (a) Find the sample.

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Probability of Compound Events

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Presentation transcript:

Topic: Probability Aim: How do we find the probability of compound events? Do Now: Three-course dinners can be made from the menu shown. (a) Find the sample space for a dinner consisting of an appetizer, entree, and dessert using a tree diagram. (b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space. (c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner? Homework: Complete Handout

Do Now: Three-course dinners can be made from the menu shown. (a) Find the sample space for a dinner consisting of an appetizer, entree, and dessert using a tree diagram. (b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space. (c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner? Sample Space Desserts Entrees Appetizers Carrot Cake Soup, Steak, Carrot Cake Steak Apple Pie Soup, Steak, Apple Pie Soup Carrot Cake Soup, Chicken, Carrot Cake Three-course dinner Chicken Apple Pie Soup, Chicken, Apple Pie Carrot Cake Salad, Steak, Carrot Cake Steak Apple Pie Salad, Steak, Apple Pie Salad Carrot Cake Salad, Chicken, Carrot Cake Chicken Apple Pie Salad, Chicken, Apple Pie

Let's Review: What is a Sample Space? A sample space is the set of all the possible outcomes in a   probability experiment. Note: Organized lists, tables, and tree diagrams can be used  to represent the sample space.

What is a Compound Event? A compound event consists of two or more simple events. The combined action of rolling a number cube and spinning a spinner is a compound event.

Probabilities involving "AND" In probability, an outcome is in event "A and B" only when the outcome is in both event A and event B. P (A and B) = P(A) P(B) Example: A die is rolled. What is the probability that the number is even and less than 4?

Probabilities involving "OR" In probability, an outcome is in event "A or B" when the outcome is in either (or both) event A or event B. P (A or B) = P(A) + P(B) - P(A and B) Example: A die is rolled. What is the probability that the number is even or less than 4?

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Homework Summary What is a sample space? Complete Handout What can be used to represent a sample space? How can we find the probability of a compound event? Homework Complete Handout