Sample Space and Outcomes. Vocabulary Experiment - Activity in which results are observed Each observation Each result The set of all possible outcomes.

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Presentation transcript:

Sample Space and Outcomes

Vocabulary Experiment - Activity in which results are observed Each observation Each result The set of all possible outcomes of an experiment Sample space - Outcome - Trial -

Impossible Certain 0 1 Even chance 1212 UnlikelyLikely Probabilities never have values less than 0 or more than 1 (remember 100 % is the same as 1 whole). Roll a 7 on a number cube Win the lottery Roll a 3 on a number cube Girls going shopping Sun rise

ExperimentSample Space For the experiment to be fair or equally likely, the outcome has to be the same size  flipping a coin  heads, tails  rolling a number cube  1, 2, 3, 4, 5, 6  whole numbers  guessing the number of marbles in a jar

Outcome is the predicted result of an event Outcomes – ( Red, Orange, purple, yellow, green) 2. Spin this spinner 1. Roll a die – outcomes (1,2,3,4,5,6) 3. Toss a coin – outcomes (heads, tails)

Sample space is the ordered listing of all possible outcomes. 3. List the possible outcomes if you toss a penny twice. Toss one HTHT Toss Two HTHT HTHT Outcomes HH,HT,TTTH, This is a tree diagram

4. Find the possible outcomes for the following dinner menu. Use a tree diagram EntréeSaladDessert PizzaCaesarChocolate cake SpaghettiHouseApple Pie Biscotti EntréeSalad Dessert Pizza Spaghetti Caesar House Caesar House Cake Pie Biscotti Cake Pie Biscotti Outcomes PCB PCP PHC PHP PHB SCC SCP SCB SHC SHP SHB PCC Cake Pie Biscotti Cake Pie Biscotti

5. Finding the total number of outcomes A. Total outcomes if you toss a penny twice. Toss oneToss Two 2 2 X = 4 B. Find the possible outcomes for the following dinner menu. Use a tree diagram EntréeSaladDessert PizzaCaesarChocolate cake SpaghettiHouseApple Pie Biscotti X X = 12

Vocabulary Activity in which results are observed Each observation Each result The set of all possible outcomes of an experiment Sample Space and Outcomes Date ________________________

ExperimentSample Space

Outcome is the predicted result of an event 2. Spin this spinner 1. Roll a die – 3. Toss a coin

Sample space is the ordered listing of all possible outcomes. 3. List the possible outcomes if you toss a penny twice. Toss oneToss Two Outcomes

4. Find the possible outcomes for the following dinner menu. Use a tree diagram EntréeSaladDessert PizzaCaesarChocolate cake SpaghettiHouseApple Pie Biscotti EntréeSaladDessert Outcomes

5. Finding the total number of outcomes A. Total outcomes if you toss a penny twice. Toss oneToss Two B. Find the possible outcomes for the following dinner menu. Use a tree diagram EntréeSaladDessert PizzaCaesarChocolate cake SpaghettiHouseApple Pie Biscotti