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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Use the table to find the probability of each event. 1. A or B occurring 2. C not occurring 3. A, D, or E occurring. 0.494. 0.742. 0.588. California Standards.

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Warm Up

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  1. Preview Warm Up California Standards Lesson Presentation

  2. Warm Up Use the table to find the probability of each event. 1.A or B occurring 2. C not occurring 3. A, D, or E occurring 0.494 0.742 0.588

  3. California Standards Review of Grade 6 SDAP3.2 Use data to estimate the probability of future events (e.g., batting averages or number of accidents per mile driven). Also covered:6SDAP3.3

  4. Vocabulary experimental probability

  5. In experimental probability, the likelihood of an event is estimated by repeating an experiment many times and observing the number of times the event happens. That number is divided by the total number of trials. The more times the experiment is repeated, the more accurate the estimate is likely to be.

  6. number of red marbles drawn 15 50 = total number of marbles drawn Additional Example 1A: Estimating the Probability of an Event A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws. Estimate the probability of drawing a red marble. probability  The probability of drawing a red marble is about 0.3, or 30%.

  7. number of green marbles drawn 12 50 = total number of marbles drawn Additional Example 1B: Estimating the Probability of an Event A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws. Estimate the probability of drawing a green marble. probability  The probability of drawing a green marble is about 0.24, or 24%.

  8. number of yellow marbles drawn 23 50 = total number of marbles drawn Additional Example 1C: Estimating the Probability of an Event A marble is randomly drawn out of a bag and then replaced. The table shows the results after fifty draws. Estimate the probability of drawing a yellow marble. probability  The probability of drawing a yellow marble is about 0.46, or 46%.

  9. number of purple tickets drawn 55 100 = total number of tickets drawn Check It Out! Example 1A A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 100 draws. Estimate the probability of drawing a purple ticket. probability  The probability of drawing a purple ticket is about 0.55, or 55%.

  10. number of brown tickets drawn 23 100 = total number of tickets drawn Check It Out! Example 1B A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 100 draws. Estimate the probability of drawing a brown ticket. probability  The probability of drawing a brown ticket is about 0.23, or 23%.

  11. number of blue tickets drawn 112 1000 = total number of tickets drawn Check It Out! Example 1C A ticket is randomly drawn out of a bag and then replaced. The table shows the results after 1000 draws. Estimate the probability of drawing a blue ticket. probability  The probability of drawing a blue ticket is about 0.112, or 11.2%.

  12. Additional Example 2: SportsApplication Use the table to compare the probability that the Huskies will win their next game with the probability that the Knights will win their next game.

  13. number of wins probability  total number of games 79 probability for a Huskies win   0.572 138 90 probability for a Knights win   0.616 146 Additional Example 2 Continued The Knights are more likely to win their next game than the Huskies.

  14. Check It Out! Example 2 Use the table to compare the probability that the Huskies will win their next game with the probability that the Cougars will win their next game.

  15. number of wins probability  total number of games 79 probability for a Huskies win   0.572 138 85 probability for a Cougars win   0.567 150 Check It Out! Example 2 Continued The Huskies are more likely to win their next game than the Cougars.

  16. Lesson Quiz: Part I 1. Of 425,234 seniors were enrolled in a math course. Estimate the probability that a randomly selected senior is enrolled in a math course. 2. Mason made a hit 34 out of his last 125 times at bat. Estimate the probability that he will make a hit his next time at bat. 0.55, or 55% 0.27, or 27%

  17. Lesson Quiz: Part II 3. Christina polled 176 students about their favorite yogurt flavor. 63 students’ favorite flavor is vanilla and 40 students’ favorite flavor is strawberry. Compare the probability of a student’s liking vanilla to a student’s liking strawberry. about 36% to about 23%

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