Warm Up 1). Kim scored 3 out of 5 shots that she took. What is the experimental probability that she will make a shot? 2). Cameron rolled 4 fives out of 18 rolls on a number cube. What is the experimental probability? What is the theoretical probability? 3). Steve runs 4 out of 7 days a week. What is the probability that he will run on Monday? 3/5, 60% 2/9(22%), 1/6 (17%) 4/7, 57%

A sample space is all of the possible outcomes of an experiment. You can use a tree diagram to show all of the possible outcomes of the sample space.

H T H T T H H T H H T T T H 1/8 Example: Jake tosses three pennies. Find all possible outcomes. Find the probability that all three tosses will show heads.

Practice Make a tree diagram for each. 1). Tossing a coin and rolling a number cube. 2). Choosing black, blue, or brown socks, with boots, gym shoes, or dress shoes.

Fundamental Counting Principle You can find the total number of outcomes for two or more experiments by multiplying the number of outcomes for each separate experiment. Example 1: Jack wants an ice cream. He can choose a cone or cup with vanilla, chocolate or strawberry ice cream. How many types of ice cream can he buy? 2x3 6 possible outcomes

4 x 3 x 4 = 48 different dinners Example 2: A steak house offers the following choices for a steak dinner. How many different dinners are possible? SteakHow CookedPotatoes New York StripRareMashed RibeyeMediumBaked PorterhouseWellSweet T-boneAu Gratin

Practice Find the total number of outcomes using the fundamental counting principle. 1). tossing a quarter, a dime and a nickel 2). choosing scrambled, sunny-side up, or poached eggs with bacon or sausage and milk, orange juice or apple juice 3). rolling a number cube and tossing two coins 3 x 2 x 3 =18 6 x 2 x2 = 48 2 x 2 x 2 = 8

Closure Compare using a tree diagram and using the Fundamental Counting Principle to find a sample space.