In Exercises 1-4, identify the sample space of the probability exp determine the number of outcomes in the event. Draw a tree diag appropriate. 1. Experiment: Tossing four coins Event: Getting three heads 2. Experiment: Rolling 2 six-sided dice Event: Getting a sum of 4 or 5 3. Experiment: Choosing a month of the year Event: Choosing a month that begins with the letter J

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Name Allaina Bitchie
3
REVIEW EXERCISES
Date
1. Experiment: Tossing four coins
Event: Getting three heads
SECTION 3.1
In Exercises 1-4, identify the sample space of the probability experiment and
appropriate.
determine the number of outcomes in the event. Draw a tree diagram if it is
2. Experiment: Rolling 2 six-sided dice
Event: Getting a sum of 4 or 5
REVIEW EXERCISES
3. Experiment: Choosing a month of the year
Event: Choosing a month that begins with the letter J
4. Experiment: Guessing the gender(s) of the three children in a family
Event: The family has two boys
181
In Exercises 5 and 6, use the Fundamental Counting Principle.
5. A student must choose from 7 classes to take at 8:00 A.M., 4 classes to take at
9:00 A.M., and 3 classes to take at 10:00 A.M. How many ways can the student
arrange the schedule?
6. The state of Virginia's license plates have three letters followed by four dig-
its. Assuming that any letter or digit can be used, how many different license
plates are possible?
In Exercises 7-12, classify the statement as an example of classical probability,
empirical probability, or subjective probability. Explain your reasoning.
7. On the basis of prior counts, a quality control officer says there is a 0.05
probability that a randomly chosen part is defective.
8. The probability of randomly selecting five cards of the same suit from a
standard deck is about 0.0005.
9. The chance that Corporation A's stock price will fall today is 75%.
10. The probability that a person can roll his or her tongue is 70%.
11. The probability of rolling 2 six-sided dice and getting a sum greater than 9
is /.
Number of employees
Percent of firms
12. The chance that a randomly selected person in the United States is between
15 and 29 years old is about 21%. (Source: U.S. Census Bureau)
In Exercises 13 and 14, the table shows the approximate distribution of the sizes of
firms for a recent year. Use the table to determine the probability of the event.
(Adapted from U.S. Small Business Administration)
0 to 4 5 to 9 10 to 19 20 to 99
60.9% 17.6% 10.7% 9.0%
100 or more
1.8%
13. What is the probability that a randomly selected firm will have at least
10 employees?
14. What is the probability that a randomly selected firm will have fewer than
20 employees?
Transcribed Image Text:Name Allaina Bitchie 3 REVIEW EXERCISES Date 1. Experiment: Tossing four coins Event: Getting three heads SECTION 3.1 In Exercises 1-4, identify the sample space of the probability experiment and appropriate. determine the number of outcomes in the event. Draw a tree diagram if it is 2. Experiment: Rolling 2 six-sided dice Event: Getting a sum of 4 or 5 REVIEW EXERCISES 3. Experiment: Choosing a month of the year Event: Choosing a month that begins with the letter J 4. Experiment: Guessing the gender(s) of the three children in a family Event: The family has two boys 181 In Exercises 5 and 6, use the Fundamental Counting Principle. 5. A student must choose from 7 classes to take at 8:00 A.M., 4 classes to take at 9:00 A.M., and 3 classes to take at 10:00 A.M. How many ways can the student arrange the schedule? 6. The state of Virginia's license plates have three letters followed by four dig- its. Assuming that any letter or digit can be used, how many different license plates are possible? In Exercises 7-12, classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. 7. On the basis of prior counts, a quality control officer says there is a 0.05 probability that a randomly chosen part is defective. 8. The probability of randomly selecting five cards of the same suit from a standard deck is about 0.0005. 9. The chance that Corporation A's stock price will fall today is 75%. 10. The probability that a person can roll his or her tongue is 70%. 11. The probability of rolling 2 six-sided dice and getting a sum greater than 9 is /. Number of employees Percent of firms 12. The chance that a randomly selected person in the United States is between 15 and 29 years old is about 21%. (Source: U.S. Census Bureau) In Exercises 13 and 14, the table shows the approximate distribution of the sizes of firms for a recent year. Use the table to determine the probability of the event. (Adapted from U.S. Small Business Administration) 0 to 4 5 to 9 10 to 19 20 to 99 60.9% 17.6% 10.7% 9.0% 100 or more 1.8% 13. What is the probability that a randomly selected firm will have at least 10 employees? 14. What is the probability that a randomly selected firm will have fewer than 20 employees?
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