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Lesson 2: Understand Theoretical Probability — Practice Questions

  1. 1. A quality control check on 300 light bulbs finds 4% are defective. Based on this sample, how many defective bulbs would you predict in a production run of 5,000 bulbs? The predicted number is ___.

  2. 2. A survey of 200 students at a high school with 1,500 students found that 60% support a new cafeteria menu. Based on this, what is the predicted number of students who support the new menu?

    • A. 600
    • B. 800
    • C. 900
    • D. 1200
  3. 3. A wildlife biologist finds that 22% of birds sampled in a forest are sparrows. If the total estimated bird population in the forest is 2,500, how many sparrows are predicted to be in the forest? The predicted number is ___.

  4. 4. A factory's quality control finds that 1.5% of computer chips in a sample are flawed. In a production batch of 12,000 chips, how many are predicted to be flawed? The predicted number is ___.

  5. 5. In a city with 80,000 residents, a poll predicts that 45% will vote in an upcoming election. Based on this poll, what is the total number of people expected to vote? The predicted number is ___.

  6. 6. A standard six-sided die is rolled. What is the probability of rolling a number greater than 4? Express your answer as a simplified fraction. ___

  7. 7. A spinner has four equal sections labeled A, B, C, and D. What is the sample space for one spin?

    • A. \{A, B, C\}
    • B. \{A, B, C, D\}
    • C. \{1/4, 1/4, 1/4, 1/4\}
    • D. \{A\}
  8. 8. A bag contains 15 unique, colored marbles. If one marble is drawn at random, what is the probability of picking the single blue marble? ___

  9. 9. The theoretical probability of an event is a fraction. What does the numerator of this fraction represent?

    • A. The total number of possible outcomes
    • B. The number of favorable outcomes
    • C. The number of unfavorable outcomes
    • D. The sample space
  10. 10. When rolling a fair six-sided die, what is the probability of landing on an odd number? Express your answer as a simplified fraction. ___