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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 11-4 Guided Notes Sample Spaces Sample Spaces The set of all possible outcomes of an experiment is called a sample space. One way to picture a sample space is to make a tree diagram. Example 1: Make a tree diagram to show the sample Example 2: You have an equal chance of winning space if a number cube is rolled and a coin is tossed. LIST ALL OUTCOMES (W) or losing (L) a game. Make a tree diagram to show the outcomes when playing three games. Find P(winning exactly 1 game). Exercises Use a tree diagram to find the possible outcome in the sample space. 1. Roll a six-sided number cube and choose a letter from the word “AND” Find each probability if you spin Spinner 1 and Spinner 2. 2. P(2 and A) 3. P(3 and vowel) 4. P(even number and consonant) Chapter 12 41 Glencoe Algebra 1 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 11-4 Guided Notes (continued) Outcome and Probability of Multiple Independent Events Outcomes of Multiple Independent Events (Number of Outcomes)n Probability of Multiple Independent Events P(A)n Number of Outcomes for Rolling 5 Dice = 65 = 7,776 8 P(8 Heads in a Row) = 1 1 = 2 256 Exercises Find the number of possible outcome in each sample space. 1. Tossing two pennies 2. Tossing a penny and a number cube 3. Tossing two pennies and tossing a number cube 4. Flipping 4 coins and Tossing 3 number cubes 5. 4-digit password Find the probability of each event. 6. Someone having the same Initials as you. 7. Getting 5 face cards in a row (putting the card back each time) 8. Having all even numbers in your Social Security number. Chapter 12 42 Glencoe Algebra 1