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Understanding Theoretical and Experimental Probability through Real-life Scenarios

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This practice exercise focuses on determining the theoretical and experimental probabilities of various events, using practical examples. Students will analyze data on students earning at least two A’s to find the probability of selecting a freshman or sophomore. Additionally, they will calculate Joe's chances of winning in a tic-tac-toe game, evaluate the likelihood of drawing a non-red slip of paper from a box, and assess the probability of picking a certain type of soup from Debbie's pantry. Key statistics and results will enhance comprehension of probability concepts.

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Understanding Theoretical and Experimental Probability through Real-life Scenarios

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  1. EOC Practice #29 SPI 3102.5.5

  2. EOC Practice #29 • Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.

  3. This table shows the number of students from each grade level who earned at least two A’s during the first nine weeks grading period. One student will be randomly selected from this group of students to win the grand prize in the academic incentive program. Which is closest to the probability that the student selected will be a freshman or sophomore?

  4. Students with at least two A’s A. O.24 C. 0.48 B. 0.28 D. 0.52

  5. Joe is playing a computer tic-tac-toe game. • This table shows the results. What is the experimental probability that Joe will win?

  6. Tic-Tac-Toe Results • C. • B. D.

  7. Twenty-three colored slips of paper are placed in a box for a drawing. Anyone wearing a shirt that matches the slip drawn will be eligible for a prize. There are 9 blue slips, 7 red slips, 4 yellow slips, and 3 green slips. • What is the probability that the first slip of • paper drawn from the box is not red? • C. • B. D.

  8. This table shows the number of cans of soup • in Debbie’s pantry. If Debbie randomly selects a can of soup to fix for lunch, what is the probability that the can selected will be vegetable or broccoli cheese?

  9. Soup in Debbie’s Pantry • C. • B. D.

  10. The Answers

  11. This table shows the number of students from each grade level who earned at least two A’s during the first nine weeks grading period. One student will be randomly selected from this group of students to win the grand prize in the academic incentive program. Which is closest to the probability that the student selected will be a freshman or sophomore?

  12. Students with at least two A’s A. O.24 C. 0.48 B. 0.28 D. 0.52

  13. Joe is playing a computer tic-tac-toe game. • This table shows the results. What is the experimental probability that Joe will win?

  14. Tic-Tac-Toe Results • C. • B. D.

  15. Twenty-three colored slips of paper are placed in a box for a drawing. Anyone wearing a shirt that matches the slip drawn will be eligible for a prize. There are 9 blue slips, 7 red slips, 4 yellow slips, and 3 green slips. • What is the probability that the first slip of • paper drawn from the box is not red? • C. • B. D.

  16. This table shows the number of cans of soup • in Debbie’s pantry. If Debbie randomly selects a can of soup to fix for lunch, what is the probability that the can selected will be vegetable or broccoli cheese?

  17. Soup in Debbie’s Pantry • C. • B. D.

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