Math 7 – Assignment #9 Name
Chapter 10 – Probability Date
Use the Counting Principle to find the number of outcomes in each situation.
1. Like a typical boy, Kyle does not care if any of his clothes match. Knowing this, how
many outfits he can create with his ten shirts, four shorts and three pairs of shoes?
2. Janice goes to Subway for lunch every day. If there are three different rolls, five
different meats, four different cheeses, six different beverages and two different
cookies, how many times can she get something different for lunch?
Compute each factorial product.
3. Compute five factorial, (5!).
4. Compute four factorial minus seventeen, (4! – 17).
Ten red, seven white and eight blue marbles are in a bag. Find the probability of each
event and write your answer as a percent.
5. White 6. Purple
7. Not blue 8. Red or blue
9. Not blue or not white 10. White and blue
11. White or yellow 12. A marble
13. Describe a bag of marbles in which the following probabilities exists:
2 7 3
P(red) = , P(red or black) = , P(blue) =
5 10 10
The spinner at the right is equally likely to stop at any of the eight numbers. Find the
probability of each event and write your answer as a fraction.
14. An even number 15. A prime number 45 1
16. A factor of 40 17. A multiple of 5 40 4
18. 15 and 38 19. 7, 10 or 15
Find the probability of each event when a fair die is rolled.
20. A whole number 21. A nine
22. A number less than 1 23. A number greater than 4
24. The number 2, 4, 5 or 6 25. A 1 and a 3
A card is drawn from a standard deck of 52 cards. Find the probability of each event.
26. A red queen 27. A joker
28. A face card 29. Not a heart
30. A seven and an ace 31. A number card
32. Not a red card 33. A number card between 5 and 9
34. How many three-letter permutations can you form from eleven different letters?
35. There are thirty contestants in a talent contest. Trophies are given to the top three
performers. How many different ways could the trophies be awarded?
36. a. Draw a tree diagram or list the sample space to show the possible outcomes for
picking a day of the week and a color from purple, blue and green.
b. How many of these outcomes include a day of the week beginning with an “S”?
37. a. Draw a tree diagram or list the sample space to show the possible outcomes for
answering a multiple-choice question, A, B, C, or D and then answering a
true/false question, T or F.
b. How many outcomes include a vowel?
38. Think of events that happen during a typical baseball game.
a. Name one event whose probability of occurring is 0 and explain why.
b. Name one event whose probability of occurring is 1 and explain why.