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Explore sample spaces for snack and clothes choices, use tree diagrams to find all possible outcomes and calculate probabilities in fun games.
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Lesson Menu Main Idea and New Vocabulary Example 1: Find a Sample Space Example 2: Find Probability
Find sample spaces and probabilities. • sample space • tree diagram Main Idea/Vocabulary
Find a Sample Space SNACKS The school cafeteria gives students two choices of snacks: carrot sticks and pretzels. They also offer a beverage choice of apple juice, low-fat milk, or bottled water. Find the sample space for all possible orders of one snack with one beverage. Example 1
Find a Sample Space Make a tree diagram of all the possible outcomes. Answer: Example 1
A. B. C. D. CLOTHES A pair of jeans comes in 2 colors: dark blue or light blue. They also come in three different lengths: regular, short, or long. Find the sample space for all possible pairs of jeans. Example 1 CYP
Find Probability GAMES Peter and Linda are playing a game in which the spinner below is spun twice. If the sum of the numbers spun is even, Peter wins. If the sum of the numbers is odd, Linda wins. Make a tree diagram to show the sample space. Then find the probability that Linda wins. Example 2
Answer:There are 9 equally likely outcomes with 4 favoring Linda. So, the probability that Linda will win is . Find Probability Make a tree diagram of the sample space. Example 2
A. B. C. D. GAMES Tom and Rick are playing a game in which they flip a coin 2 times. In order for Rick to win, both coin flips must be tails. Make a tree diagram to show the sample space. Then find the probability that Rick wins. Example 2 CYP