7.8 simple probability 2

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7.8 simple probability 2

  1. 1. Daily Homework Quiz For use after Lesson 7.8 You roll a number cube. Find the theoretical probability that you will roll: 1. a 5 2. an even number
  2. 2. Daily Homework Quiz For use after Lesson 7.8 You roll a number cube. Find the theoretical probability that you will roll: 1. a 5 2. an even number ANSWER 1 6 ANSWER 1 2
  3. 3. Simple Probability 7.8
  4. 4. Essential Questions <ul><li>What are the differences between permutations and combinations? </li></ul><ul><li>What are the differences between odds and probability? </li></ul><ul><li>How is probability used to make predictions? </li></ul><ul><li>What are the differences between experimental and theoretical probabilities? </li></ul>
  5. 5. Review <ul><li>What is theoretical probability? </li></ul><ul><ul><li>How do you find it? </li></ul></ul><ul><li>What is experimental probability? </li></ul><ul><ul><li>How do you find it? </li></ul></ul><ul><li>What does a probability of 0 mean? </li></ul><ul><li>What does a probability of 1 mean? </li></ul>
  6. 6. Probability <ul><li>Number of favorable outcomes </li></ul><ul><li>Number of possible outcomes </li></ul>
  7. 7. EXAMPLE 3 Standardized Test Practice SOLUTION STEP 1 Find the experimental probability of a button being defective. P (defective) = 2 300
  8. 8. EXAMPLE 3 Standardized Test Practice STEP 2 300x = 40,000 300 300 x = 133 1/3 You could expect about 133 buttons in a shipment of 20,000 to be defective. The correct answer is C . ANSWER P (defective) = 2 300 = x 20,000
  9. 10. GUIDED PRACTICE for Examples 1, 2 and 3 P (rolling a number greater than 3 ) = 0.48 = 48% 16+14+18= 48 What is the experimental probability of rolling a number greater than 3 when a number cube is rolled 100 times ? What is the theoretical probability of this event? Number Cube = 48 100 Number of favorable outcomes Total number of rolls The experimental probability of rolling a number greater than 3 is 48% or 12/25 . ANSWER
  10. 11. GUIDED PRACTICE for Examples 1, 2 and 3 theoretical probability of rolling a number greater than 3: P (rolling a number greater than 3 ) Number of favorable outcomes Total number of possible outcomes = 1 2 The theoretical probability of rolling a number greater than 3 is 50% . ANSWER = 3 6
  11. 12. <ul><li>You randomly draw a marble from a bag of yellow, blue, and green marbles 20 times and replace it. You drew yellow 8 times, blue 5 times, and green 7 times. </li></ul><ul><li>Estimate the probability that the next marble will be yellow? blue? </li></ul>Daily Homework Quiz For use after Lesson 7.8 ANSWER Yellow: 40% or 2/5; Blue: 25% or 1/4
  12. 13. Homework <ul><li>Worksheet 7.8 </li></ul><ul><li>#11 A hit is a single, double, triple and homerun. </li></ul><ul><li>#16: Fraction to percent </li></ul><ul><ul><li>Numerator divided by denominator </li></ul></ul><ul><ul><li>Multiply by 100 </li></ul></ul>

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