A bag contains 36 red blocks, 48 green blocks, 22 yellow blocks, and 19 purple blocks. You pick one block from the bag at random. Find each theoretical probability.

17. P(green)
18. P(purple)
19. P(not yellow)
20. P(green or yellow)
21. P(yellow or not green)
22. P(purple or not red)

See Problem 4.

23. Games A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 150. What is the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots?

See Problem 5.

Geometry Suppose that a dart lands at random on the dartboard shown below. Find each theoretical probability.

24. The dart lands in the bull's-eye.
25. The dart lands in a green region.
26. The dart scores at least 10 points.
27. The dart scores less than 10 points.

B Apply

28. Think About a Plan Suppose you roll two standard number cubes. What is the theoretical probability of getting a sum of 7?
    • What is the sample space?
    • How many outcomes are there?

In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both math and science. One student is picked at random. Find each probability.

29. P(taking math or science or both)
30. P(not taking math)
31. P(taking math but not science)
32. P(taking neither math nor science)
33. Lottery A lottery has 53 numbers from which five are drawn at random. Each number can only be drawn once. What is the probability of your lottery ticket matching all five numbers in any order?
34. 1. Sports Out of four games, team A has won one game and team B has won three games in a championship series. What is the experimental probability that team A wins the next game? That team B wins the next game?
    2. Reasoning Do you think that experimental probability is a good predictor of the winner of the next game? Explain.
35. Writing Explain what you would need to know to determine the theoretical probability of a five-digit postal ZIP code ending in 1.

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