A âChoose Your Own Adventureâ book (is anyone in the class old enough to remember these?) has 1 ... A geneticist is studying a population of fruit...
Directions: Determine if the following are combinations or permutations. Then set up the problem. (Set up only!) 1. Fifteen seniors will get the opportunity to go on the OCC field trip. 75 students apply. How many possible ways are there to choose the 15 students?
2. A printer has 8 colors of ink, but can only pick 3 to use on a pamphlet that he is printing. How many different color combinations can he choose?
3. Emily has 10 CDs to listen to while on her drive. If she can only pick 4, how many different ways can she listen to the CDs? Directions: Answer the questions below. 4. A “Choose Your Own Adventure” book (is anyone in the class old enough to remember these?) has 1 introduction, 3 choices for the first part, 2 choices for the second part, three for the third part, and 4 conclusions. How many different stories can be read?
5. A math class is made up of 11 boys and 10 girls. How many ways can the teacher choose one boy and one girl to solve a problem for the class?
6. You are creating a 4 digit pin number for your ATM card. If numbers can be repeated, how many different PIN numbers can you come up with?
7. There are 6 students on the UCI student council who voted to remove the American flag from the Student Union. Jake and Tommy H. decide they want to run against two of these students in the next election. How many different possibilities are there for Jake and Tommy in the next election?
8. A student from Yorba Linda High School says that there will always be more combinations available than permutations. Is the student correct? Why or why not?
9. How many distinguishable permutations does the word ESPERANZA have?
10. How many distinguishable permutations does the word CHEESES have?
Directions: For #15-16, find the indicated probability. State if the probability is theoretical or experimental. (Leave answers as reduced fractions). 11. What is the probability that a 1-6 number cube lands on a number less than 2?
Some students did an experiment at a gym were polled to see if they prefer the treadmill or the elliptical machine. The results of the poll are shown in the table.
Treadmill Elliptical Men 25 3 Women 13 44 12. What is the probability that a randomly chosen person was a female who preferred the elliptical?
13. What is the probability that a person preferred the treadmill, given it was a male?
Directions: Answer the question for each problem below. 14. Two number cubes are rolled at the same time. What is the probability that the sum of the two cubes is 2 or 12?
15. What is the probability of drawing a flush (5 cards of the same suit) from a deck of cards?
16. What is the probability that a point chosen inside the rectangle is in the shaded region?
17. What is the probability that three number cubes rolled at the same time will show three different numbers?
18. Two coins and two number cubes are tossed at the same time. What is the approximate probability that the two coins show different sides and the two number cubes show the same number?
19. 7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Directions: Use the following information for problems #20-22 Given a standard 52-deck of cards and you pick 4 cards. Find the probability for each of the following situations a) with replacement b) without replacement. (Leave answers as reduced fractions). 20. You get 4 aces.
21. You first draw a club card and then 2 red cards, and then another club.
22. You draw all cards that are between 2 and 9.
23. Give an example of mutually exclusive events.
24. Give examples of dependent and independent events.
25. Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only 10 new hires had prior experience without a college degree. What is the approximate probability that a new hire has a college degree but no experience?
26. What is the probability that three number cubes rolled at the same time will show three different numbers?
27. A geneticist is studying a population of fruit flies. Of the 1278 flies, 467 are wingless and 446 have red eyes. There are 210 flies that are wingless whose eyes are not red. What is the approximate probability that a fly is wingless or has red eyes?
