Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

The spinner below is divided into six equal parts. Find the theoretical probability of landing on the given section(s) of the spinner.

10. P (blue)
11. P(white)
12. P(5)
13. P(not less than 3)
14. P(8)
15. P (even)
16. P(not 2)
17. P (less than 5)
18. P(not green)
19. P (not red)
20. P(even or odd)
21. P(greater than 4)

See Problem 3.

Use the spinner above. Find the odds.

22. odds in favor of even number
23. odds against 2
24. odds against a factor of 6
25. odds against green
26. odds in favor of blue
27. odds in favor of a multiple of 5

See Problem 4.

The results of a survey of 100 randomly selected students at a 2000-student high school are shown below. Find the experimental probability that a student selected at random has the given plans after graduation.

28. P(community college)
29. P(4-year college)
30. P(trade school)
31. P(not trade school)
32. P(trade school or community college)

    See Problem 5.

33. A park has about 500 trees. You find that 27 of 67 randomly chosen trees are oak trees. About how many trees in the entire park are likely to be oak trees?

B Apply

34. Error Analysis A spinner has 3 red and 5 blue sections of equal size. A friend says the odds in favor of spinning blue are 3 : 5. Describe and correct the error.
35. Think About a Plan The United States has a land area of about 3,536,278  mi 2 . 3,536,278 . mi squared , .  Illinois has a land area of about 57,918  mi 2 . 57,918 . mi squared , .  What is the probability that a location in the United States chosen at random is not in Illinois? Give your answer to the nearest tenth of a percent.
    • How can you solve this problem using the complement of an event?
    • How do you write a fraction as a percent?
36. Transportation Out of 80 workers surveyed at a company, 17 walk to work.
    1. What is the experimental probability that a randomly selected worker at that company walks to work?
    2. Predict about how many of the 3600 workers at the company walk to work.
37. Open-Ended Suppose your teacher chooses a student at random from your algebra class. What is the probability that a boy is not selected?
38. Reasoning The odds in favor of Event A are equal to the odds against Event A. What is the probability of Event A? Explain.

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