Probability Study Guide
Name_______________________________ Date___________
Period_____
For questions 1 and 2: Kailey randomly chooses an M&M from a bowl of 13 green, 12 red and 15 blue
M&M’s and eats it. Leslie randomly chooses another M&M to eat. (Express answer in simplest form)
1. What is the probability that Kailey and Leslie will choose blue? ______________
2. Are these dependent or independent events? _______________________
3.
4.
5.
Eric has skinny jeans, cargo pants, shorts, and Dickies. For shoes, he can choose Nike, Converse or Vans.
For shirts he can wear a t-shirt, Polo shirt or dress shirt. How many different outfits can he wear?
a. 9
c. 12
b. 36
d. 10
In how many different orders (arrangements) can 7 people sit in 7 chairs in a theatre?
a. 7
c. 49
b. 14
d. 5,040
Walter is going to perform an experiment in which he spins each spinner once. What is the probability that
the first spinner will land on B, the second spinner will land on an odd number, and the third spinner will
land on Green? Express your answer as a fraction in simplest form.
S pinner 1
S pinner 2
A
1
4
B
S pinner 3
Blue Red
2
3
a.
Green
c.
1
4
b. 1
24
1
12
d. 1
8
For questions 6 and 7: A coin is tossed once, and a spinner is spun once.
1 2
5
1
1
3
4
1
6. What is the probability that the coin will show heads and the spinner will point to 3? _____________
7. What is the probability of the spinner landing on either 1 or 4? __________________
8.
The Gwinnett County School System is considering having students wear uniforms. All students would
have the opportunity to wear various clothing items as part of their uniform.
If a student chose 1 top, 1 pant, and 1 pair of shoes from the selections above, how many different ways
can they wear their uniform?
a. 8
c. 12
b. 30
d. 6
For questions 9 and 10: Brianna drops 24 jolly ranchers into a jar. There are 4 blue jolly ranchers, 8 red
jolly ranchers, and 12 green ones.
9. What is the probability of her choosing a jolly rancher that is blue? ___________________
10. If 2 jolly ranchers are chosen with replacement, what is the probability of choosing a green jolly rancher
and a red jolly rancher? ___________________
11. A meal consists of 1 sandwich, 1 drink, and 1 side order from
the table shown. Using the counting principle, how many
different meals are possible?
_________________
Sandwich
wrap
sub
flatbread
sourdough
Drink
Milk
Juice
PowerAde
Iced Tea
Side Order
chips
cookie
brownie
12. Juan tossed a paper cup 60 times and recorded how the cup landed each time. He organized the results in
the table shown. Find the experimental probability that the cup will land Upside Down. Express your
answer as a fraction in simplest form.
Outcome
Frequency
a. 18
60
b. 29
60
Right-side up
13
Upside down
18
c. 13
60
d. 3
10
13. Draw a tree diagram to represent the given choices for a snack:
Drink: Soda, juice, tea, water. Food: cookies, fruit, chips.
On its side
29
Answers:
7
52
2. dependent
3. B
4. D
5. C
1
6.
16
5
7.
8
8. C
1
9.
6
1
10.
6
11. 48
12. D
13. Possible Answer:
1.
Soda
Cookies Fruit Chips
Juice
Cookies Fruit Chips
Tea
Cookies Fruit Chips
Water
Cookies Fruit Chips