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Do Now Natalie has a bag with 13 green, 4 red, 9 purple, and 6 yellow marbles . Express each probability as a percent. What is the probability that a marble chosen is red? What is the probability that a marble chosen is purple or green?

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  1. Do Now Natalie has a bag with 13 green, 4 red, 9 purple, and 6 yellow marbles. Express each probability as a percent. What is the probability that a marble chosen is red? What is the probability that a marble chosen is purple or green? What is the probability that a marble chosen is blue? • A • B • C • D

  2. Objective SWBAT find the theoretical and experimental probability of simple events.

  3. What is probability? - used to measure the chance of an event happening - ratio that compares the number of favorable outcomes to the number of possible outcomes.

  4. What two numbers is the probability of any event between?

  5. What two numbers is the probability of any event between?

  6. # of favorable outcomes # of possible outcomes P(event) =

  7. All outcomes equally likely. All outcomes not equally likely.

  8. 1. Suppose a number cube is rolled. What is the probability of rolling an even number? There are 3 numbers on the number cube that are even: 2, 4, and 6. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. P(even) = # of favorable outcomes # of possible outcomes Answer: The probability of rolling an even number is ½ or 50%

  9. Express the probability as a fraction and a percent. • P(5) • P(less than 4) • P(2 or odd)

  10. THEORETICAL PROBABILITY - what should occur in an experiment. 1. Suppose a number cube is rolled. What is the probability of rolling a 1? There is only one number 1 on the number cube. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. P(one) = # of favorable outcomes # of possible outcomes Answer: The probability of rolling a is

  11. EXPERIMENTAL PROBABILITY - what actually occurs when repeating a probability experiment many times. 1. Suppose a number cube is rolled. What is the experimentalprobability of rolling a 1? Answer: The experimental probability of rolling a one is P (greater than 4) =

  12. Use a Sample to Make a Prediction Write down which of the following foods is your favorite. If the school was ordering food for 465 students, how many would be expected to eat hamburgers?

  13. Make a Prediction SPORTS Miss Newman surveyed her class to see which sports they preferred watching. 44% preferred football, 28% basketball, 20% soccer, and 8% tennis. Out of 560 students in the entire school, how many would you expect to say they prefer watching basketball? Understand You know that 28% prefer basketball. You need to find how many students out of 560 prefer basketball. Plan Use the percent proportion to find 28% of 560.

  14. part percent whole Make a Prediction Solve The percent is 28% and 560 is the whole. Let a represent the part.

  15. Make a Prediction Answer: You can expect about 157 students to say they prefer watching basketball. CheckEstimate: 28% is about 25% 25% of 600 is 150. So, 157 is reasonable.

  16. COLORS The students in an art class were surveyed about their favorite color. 32% preferred blue, 29% preferred red, 23% preferred yellow, and 16% preferred green. Out of 450 students in the entire school, how many would you expect to say they prefer red? • A • B • C • D A. about 6 B. 29 C. about 131 D. 144

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