16. Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? (Hint: Use the counting rule for multiple-step experiments.) b. List the sample points. c. What is the probability of obtaining a value of 7? d. What is the probability of obtaining a value of 9 or greater? e. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain. f What method did vou use to assign the probabilities requested?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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16. Consider the experiment of rolling a pair of dice. Suppose that we are interested in the
sum of the face values showing on the dice.
a. How many sample points are possible? (Hint: Use the counting rule for
multiple-step experiments.)
b. List the sample points.
c. What is the probability of obtaining a value of 7?
d. What is the probability of obtaining a value of 9 or greater?
e. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only
five possible odd values (3, 5, 7, 9, and 11), the dice should show even values
more often than odd values. Do you agree with this statement? Explain.
f. What method did you use to assign the probabilities requested?
Applications
17. KP&L Project Over Budget. Refer to the KP&L sample points and sample point
probabilities in Tables 4.2 and 4.3.
a. The design stage (stage 1) will run over budget if it takes 4 months to complete.
List the sample points in the event the design stage is over budget.
b. What is the probability that the design stage is over budget?
c. The construction stage (stage 2) will run over budget if it takes 8 months to
complete. List the sample points in the event the construction stage is over
budget.
d. What is the probability that the construction stage is over budget?
e. What is the probability that both stages are over budget?
18. Corporate Headquarters Locations. Each year Fortune magazine publishes an
annual list of the 500 largest companies in the United States. The corporate headquar-
ters for the 500 companies are located in 38 different states. The following table shows
the 8 states with the largest number of Fortune 500 companies (Money/CNN website).
Transcribed Image Text:16. Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? (Hint: Use the counting rule for multiple-step experiments.) b. List the sample points. c. What is the probability of obtaining a value of 7? d. What is the probability of obtaining a value of 9 or greater? e. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain. f. What method did you use to assign the probabilities requested? Applications 17. KP&L Project Over Budget. Refer to the KP&L sample points and sample point probabilities in Tables 4.2 and 4.3. a. The design stage (stage 1) will run over budget if it takes 4 months to complete. List the sample points in the event the design stage is over budget. b. What is the probability that the design stage is over budget? c. The construction stage (stage 2) will run over budget if it takes 8 months to complete. List the sample points in the event the construction stage is over budget. d. What is the probability that the construction stage is over budget? e. What is the probability that both stages are over budget? 18. Corporate Headquarters Locations. Each year Fortune magazine publishes an annual list of the 500 largest companies in the United States. The corporate headquar- ters for the 500 companies are located in 38 different states. The following table shows the 8 states with the largest number of Fortune 500 companies (Money/CNN website).
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