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Home > CCG > Chapter 10 > Lesson 10.1.4 > Problem 10-45

10-45.

The spinner below is designed so that if you randomly spin the spinner and land in the shaded sector, you win $. Unfortunately, if you land in the unshaded sector, you win nothing. Assume point is the center of the spinner. Homework Help ✎

Circle

  1. If , how many times would you have to spin to reasonably expect to land in the shaded sector? How did you get your answer?

What fraction of the circle is the shaded region? How can this help you?

times

  1. What if ? How many times would you have to spin to reasonably expect to land in the shaded sector?

Use the same method you used for part (a).

  1. Suppose for each spin. What must equal? Show how you got your answer.

If this is the reverse of the method used for part (a), what must you do?