Name Class Date Practice
Form G
Compound Probability
For Exercises 1–3, determine whether the events are independent or dependent.
1. You roll a 2 on a number cube and spin a 3 on a spinner. independent
2. You choose a King from a deck of cards and get heads in a coin toss. independent
3. You roll a number cube and get a 6, and roll again if the first roll is a 6. dependent
4. What is P(A and B) if P(A) = 1
and P(B) = 27 , where A and B are independent
2
1
events? 7
5. What is the probability of rolling a 4 on a fair number cube and getting “tails”
1
when tossing a coin? 12
6. What is P(A or B) if P(A) = 32% and P(B) = 17%, where A and B are mutually
exclusive events? 0.49 or 49%
7. At a local high school, 34% of the students take a bus to school and 56% of
the students walk to school. What is the probability of randomly selecting a
student that takes a bus or walks to school? 0.9 or 90%
1
8. What is P(A or B) if P(A) = 1
4 and P(B) = 2 , where A and B are overlapping
events? 58
9. A spinner has 8 equal sections numbered 1 to 8. What is the probability of the
spinner stopping on a number that is a multiple of 3 or is greater than 5? 12
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Name Class Date Practice (continued)
Form G
Compound Probability
10. A local aquarium has 6 turtles, 12 penguins, and 8 sharks. You randomly select
1 animal to watch. What is the probability that you select a turtle or a shark? 7
13
11. Writing A bag contains red, green, and blue golf balls and golf tees. You reach
into a bag to randomly select one golf ball and one golf tee. Describe how to
calculate the probability that you select a red golf ball and a red golf tee. First count
the total number of balls and tees, and the number of red balls and red tees. The
probability of choosing a red ball is the number of red balls divided by the total
number of balls. The probability of choosing a red tee is the number of red tees
divided by the total number of tees. Since randomly choosing a ball and a tee are
independent events, the probability of randomly selecting both a red ball and a red
tee is the product of these probabilities.
12. In a local town, 55% of the residents drive to work, 23% of the residents
own a dog, and 6% of the residents walk to work. Find the probability that a
randomly chosen resident owns a dog or walks to work. 0.28 or 28%
13. You donate 8 baseballs to a local baseball team. Your uncle donates
12 baseballs. If a total of 50 baseballs are donated, what is the probability
that the first pitch of the season uses one of your baseballs or one of your
uncle’s baseballs? Write your answer as a percent. 0.4 or 40%
Use the spinner at the right for Exercises 14–17.
14. What is the probability of the arrow stopping on a
consonant or one of the first 4 letters of the alphabet? 5
X
6
J
A
E
F
15. What is the probability of the arrow stopping on
C
“X” on the first spin and “F” on the second spin? 1
36
16. What is the probability of the arrow stopping on
“J” or “A” on one spin? 1
3
17. Reasoning What is the probability of the arrow stopping on “J” and “A” on
one spin? Explain. 0; Explanations may vary. Sample: The spinner would have to stop
on both the “J” and the “A” some of the time, which is impossible. The events are
mutually exclusive.
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Name Class Date Practice
Form K
Compound Probability
For Exercises 1 and 2, determine whether the events are independent or
dependent.
1. Get an odd number on a spinner and a red marble from a bag of marbles.
independent
2. You choose a class member for your study group, then choose an additional
classmate. dependent
3. What is the probability of rolling a 3 on a number cube and choosing a heart
1
from a deck of cards? 24
4. In a high school, 53% of the students live less than one mile from the school
and 21% of the students live more than three miles from school. What is the
probability of randomly selecting a student who lives less than one mile from
school or more than three miles from school? 0.74
2
5. What is P(A or B) if P(A) = 1
3 and P(B) = 9 , where A and B are overlapping
events? 13
27
6. A spinner has 5 equal sections numbered 1 to 5. What is the probability of the
spinner stopping on a number that is a multiple of 2 or is less than 3? 35
7. On a bookshelf there are 16 fiction books, 8 math books, and 4 cookbooks.
What is the probability that you randomly select a fiction or math book from
the shelf? 67
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Name Class Date Practice (continued)
Form K
Compound Probability
8. Reasoning Are rolling an even number and rolling a 5 on one roll of a
number cube overlapping events? Explain. No. If you roll an even number, it has to be
a 2, 4, or 6. Since there is no possibility that you can roll an even number and a 5, the
events are not overlapping.
9. Sports On a track and field team, 8% of the members run only long-distance,
32% compete only in field events, and 12% are sprinters only. Find the
probability that a randomly chosen team member runs only long-distance or
competes only in field events. 0.4
Use the spinner at the right for Exercises 10–12.
10. What is the probability of the arrow stopping on an
odd number or a number greater than 2? 5
2
6
4
1
5
3
6
11. What is the probability of the arrow stopping on “1” on
the first spin and “6” on the second spin? 1
36
12. Open-Ended Using the given spinner, describe two events that are
mutually exclusive. Answers may vary, but should be examples of the spinner
stopping on different symbols on the same spin.
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