Probability Review Geometry PreAP Name______
Identify the following as a permutation, combination, or counting principle problem.
1. Warner Brothers is holding open casting for Batman, Superman, Green Lantern and the Martian Manhunter?
2. A burger and have 3 types of cheese and 5 types of toppings. How many ways can you order your burger?
3. 35 students are chosen to represent KHS at a district event. How many ways can the students be chosen?
Evaluate each permutation or combination (you must show the set up):
4. 7 P 4 5. 10 C 3 6. 6 P 4 + 10 C 7
State if each scenario involves a permutation, combination or counting principle. Then find the number of possibilities. (you must show the set up):
7. 20 people are going to compete in a race. The top 5 finishers advance to the finals.
8. 12 people are now competing for 5 unique positions.
9. A pair of sunglasses has 5 frame colors, 3 lens colors and the option to be polarized. How many different types of sunglasses are there?
Make an organized list or tree diagram representing the sample space.
10. A car is sold in black (b), red (r), green (g), or white (w) and an engine size of V6 (6), or V8 (8).
Find the probability that a point chosen at random lies in the shaded region.
11. 12. 13.
Use the spinner to find each probability. If the spinner lands
on a line it is spun again.
14. P(pointer landing on purple)
15. P(pointer landing on red)
Two dice are rolled.
16. What is the probability that you roll an 8?
17. What is the probability that you roll a number 10 or greater?
18. A card is drawn for a standard deck of cards. What is the probability that you draw a 7 card or a Spade?