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Experimental Probability 10-2 Course 3: Learn through Warm-Up Problems & Lesson Presentation

Explore theoretical vs. experimental probability using engaging examples and quizzes in this educational course. Understand how to estimate likelihood by repeating experiments. Improve math skills and analytical thinking through interactive lessons.

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Experimental Probability 10-2 Course 3: Learn through Warm-Up Problems & Lesson Presentation

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  1. Experimental Probability 10-2 Course 3 Warm Up Problem of the Day Lesson Presentation

  2. Experimental Probability 10-2 Course 3 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. Experimental Probability 10-2 Course 3 Problem of the Day A spinner has 4 colors: red, blue, yellow, and green. The green and yellow sections are equal in size. If the probability of not spinning red or blue is 40%, what is the probability of spinning green? 20%

  4. Experimental Probability 10-2 Course 3 Learn to estimate probability using experimental methods.

  5. Experimental Probability 10-2 Course 3 Insert Lesson Title Here Vocabulary experimental probability

  6. Experimental Probability 10-2 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 the experiment is repeated, the more accurate the estimate is likely to be. number of times the event occurs total number of trials probability  Course 3

  7. Experimental Probability 10-2 number of red marbles drawn 15 50 = total number of marbles drawn Course 3 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%.

  8. Experimental Probability 10-2 number of green marbles drawn 12 50 = total number of marbles drawn Course 3 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%.

  9. Experimental Probability 10-2 number of yellow marbles drawn 23 50 = total number of marbles drawn Course 3 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%.

  10. Experimental Probability 10-2 number of purple tickets drawn 55 100 = total number of tickets drawn Course 3 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%.

  11. Experimental Probability 10-2 number of brown tickets drawn 23 100 = total number of tickets drawn Course 3 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%.

  12. Experimental Probability 10-2 number of blue tickets drawn 112 1000 = total number of tickets drawn Course 3 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 .112, or 11.2%.

  13. Experimental Probability 10-2 Course 3 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.

  14. Experimental Probability 10-2 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 Course 3 Additional Example 2 Continued The Knights are more likely to win their next game than the Huskies.

  15. Experimental Probability 10-2 Course 3 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.

  16. Experimental Probability 10-2 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 Course 3 Check It Out: Example 2 Continued The Huskies are more likely to win their next game than the Cougars.

  17. Experimental Probability 10-2 Course 3 Insert Lesson Title Here 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%

  18. Experimental Probability 10-2 Course 3 Insert Lesson Title Here Lesson Quiz: Part II 3. Christina polled 176 students about their favorite ice cream 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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