10.1 – 10.4 Study Guide Answers
You randomly choose a marble. Find the number of ways the event can occur.
G
G
Y
1) Choosing green
2) Choosing orange
3) Choosing not yellow
Y
O
R
2 ways
1 way
4 ways
You randomly choose a marble. Find the probability of the event. Label your answer.
G
G
Y
Y
O
R
1
4) Choosing green marble
5) Choosing a blue marble
6) Choosing a red marble
𝑃(𝑔𝑟𝑒𝑒𝑛) 3
𝑃(𝑏𝑙𝑢𝑒)0_
1
𝑃(𝑟𝑒𝑑) 6
7) Choosing a yellow marble
𝑃(𝑦𝑒𝑙𝑙𝑜𝑤) 3
1
The bar graph shows the results of spinning the spinner. Find the experimental probability
of the event. Label your answer.
3
8) Spinning a 3
𝑃(3) 10
9) Spinning an even number
𝑃(𝑒𝑣𝑒𝑛) 40
10) Spinning a number greater than 1
𝑃(𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 1) 40
11) Spinning a prime number
𝑃(𝑝𝑟𝑖𝑚𝑒) 8
17
33
5
You roll a dice. Find the theoretical probability. Label your answer.
1
12) Rolling an odd number
𝑃(𝑜𝑑𝑑) 2
1
13) Rolling a number greater than 4
𝑃(𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 4) 3
14) Rolling a multiple of 2
𝑃(𝑚𝑢𝑙𝑡 2) 2
1
15) Draw a tree diagram to find the sample space. Then, use the Fundamental Counting
Principle to find the total number of possible outcomes.
Hamburger
Type
Beef, Veggie, Turkey
Topping
Cheese, Pickles, Ketchup,
Mustard, Tomato
Tree Diagram
Fundamental Counting Principle
3×5
B
V
T
16) There are 55 marbles in a bag. The probability of randomly choosing a green marble is
40%. How many marbles are green?
𝑥
40
55 × 40% = 22 𝑔𝑟𝑒𝑒𝑛 𝑚𝑎𝑟𝑏𝑙𝑒𝑠
=
x = 22 green marbles
55
100
17) There are 90 paper clips in a bag. The probability of randomly choosing a blue paper clip
is 30%. How many paper clips are not blue?
𝑥
30
90 × 30% = 27 𝑏𝑙𝑢𝑒 𝑝𝑎𝑝𝑒𝑟 𝑐𝑙𝑖𝑝𝑠
=
x = 27 blue paper clips
90
100
90 − 27 = 63 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑏𝑙𝑢𝑒
90 − 27 = 63 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑏𝑙𝑢𝑒
You roll a dice, flip a coin, and then roll a dice again. Find the probability of the compound
event. Label your answer.
18) Rolling an even number, then flipping tails, rolling a 3
1
1
1
1
𝑃(𝑒𝑣𝑒𝑛) × 𝑃(𝑡𝑎𝑖𝑙𝑠) × 𝑃(3) =
2
2
6 24
19) Rolling a 2, then flipping heads, rolling a 5
1
1
1
1
𝑃(2) × 𝑃(ℎ𝑒𝑎𝑑𝑠) × 𝑃(5) =
6
2
6 72
You roll a dice, then flip a coin. Find the probability of the compound event. Label your
answer.
20) Rolling a composite number, then flipping heads
1
1 1
𝑃(𝑐𝑜𝑚𝑝𝑜𝑠𝑖𝑡𝑒) × 𝑃(ℎ𝑒𝑎𝑑𝑠) =
3
2 6
21) Rolling a multiple of two, then flipping tails
1
1 1
𝑃(𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 2) × 𝑃(𝑡𝑎𝑖𝑙𝑠) =
2
2 4