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13. Compute P5.2² I

13. Compute P5.2² I

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Please please answer 13 and 18. Show all work! Complete all parts: thx!
**Counting and Probability Exercises** 12. **Counting: Outcomes** - You toss a pair of dice. a. Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) b. There are three even numbers on each die. How many outcomes are possible with even numbers appearing on each die? c. Probability Extension: What is the probability that both dice will show an even number? 13. Compute \( P_{5,2} \) 14. Compute \( P_{8,3} \) 15. Compute \( P_{7,7} \) 16. Compute \( P_{9,9} \) 17. Compute \( C_{5,2} \) 18. Compute \( C_{8,3} \) 19. Compute \( C_{7,7} \) 20. Compute \( C_{8,8} \) 21. **Counting: Hiring** - There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nursing supervisor, and position 3 is the nursing coordinator position. There are 15 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. 22. **Counting: Lottery** - In the Cash Now lottery game, there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize winners will be drawn. The first prize is $1 million, the second prize is $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) 23. **Counting: Sports** - The University of Montana ski team has five entrants in a men’s downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? 24. **Counting: Sales** - During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? 25. **Counting: Hiring** - There are 15 qualified applicants for 5 trainee positions in a fast
Transcribed Image Text:**Counting and Probability Exercises** 12. **Counting: Outcomes** - You toss a pair of dice. a. Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) b. There are three even numbers on each die. How many outcomes are possible with even numbers appearing on each die? c. Probability Extension: What is the probability that both dice will show an even number? 13. Compute \( P_{5,2} \) 14. Compute \( P_{8,3} \) 15. Compute \( P_{7,7} \) 16. Compute \( P_{9,9} \) 17. Compute \( C_{5,2} \) 18. Compute \( C_{8,3} \) 19. Compute \( C_{7,7} \) 20. Compute \( C_{8,8} \) 21. **Counting: Hiring** - There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nursing supervisor, and position 3 is the nursing coordinator position. There are 15 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. 22. **Counting: Lottery** - In the Cash Now lottery game, there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize winners will be drawn. The first prize is $1 million, the second prize is $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) 23. **Counting: Sports** - The University of Montana ski team has five entrants in a men’s downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? 24. **Counting: Sales** - During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? 25. **Counting: Hiring** - There are 15 qualified applicants for 5 trainee positions in a fast
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