1. The document provides examples and definitions for compound probability, which involves the probability of two or more independent events occurring. 2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, the document lists the 8 possible outcomes and identifies that there are 2 outcomes where the spinner lands on 1 and the marble is black. The probability is calculated as 2/8. 3. A tree diagram is used to calculate the probability of a coin landing on heads, a spinner landing on 3, and choosing a black marble. There are 18 total outcomes and 1 outcome that meets all 3 criteria, so the probability is 1/18.

1. Name _______________________________ Date _____________________
Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events
VOCABULARY DEFINTION EXAMPLE
Compound See below
Event
To find the probability of landing on one and black, first make a list of all the
possibilities.
Number Spinner
1 2 3 4
Number Spinner
Black
White
There are __________ possible outcomes.
Next, find the number of outcomes that have one and black.
There are two outcomes that have one and black.
Then find the probability.
P(1, black) = ways the event can occur =
possible outcomes

2. You can also use a tree diagram to see the possible outcomes
Step One: Step Two: Step Three:
Toss a fair coin Spin the spinner Choose a marble
What is the probability that the coin will show heads, the spinner will land on three
and you will choose a black marble?
Draw a tree diagram:
COIN SPINNER MARBLE OUTCOME
There are __________ equally likely outcomes.
P(heads, 1, black) =

3. 1. What is the probability of the
spinner landing on B both times? ______________
2. What is the probability of the
spinner landing on B, then C? _________________
3. What is the probability of the spinner
landing on a vowel and then a consonant? _________________
4. What is the probability of not spinning D either time? _____________________
A coin is tossed three times.
5. How many possible outcomes are there? Make a tree diagram
6. What is the probability of the coin landing heads up three times? ____________
7. What is the probability of the coin landing heads up twice and tails up once? ___
There are five cards numbered 1, 2, 3, 4, and 5 in a bag. Each time a card is
drawn, it is replaced. Find the probability of each event.
8. P(1, then 2) 9. P(4, then 4)
10. P(2, then odd) 11. P(even, then 5)
12. What is the probability of a coin landing on heads and a number cube landing
on an even number?

4. Name _______________________________ Date _____________________
Mrs. Labuski & Mrs. Rooney Period ____ Lesson 11-5 Compound Events
VOCABULARY DEFINTION EXAMPLE
A compound event
Compound
consists of two or See below
Event
more single events.
To find the probability of landing on one and black, first make a list of all the
possibilities.
Number Spinner
1 2 3 4
Number Spinner
Black B1 B2 B3 B4
White W1 W2 W3 W4
There are 8 possible outcomes.
Next, find the number of outcomes that have one and black.
There are two outcomes that have one and black.
Then find the probability.
P(1, black) = 1 ways the event can occur = 1
8 possible outcomes 8

5. You can also use a tree diagram to see the possible outcomes
Step One: Step Two: Step Three:
Toss a fair coin Spin the spinner Choose a marble
What is the probability that the coin will show heads, the spinner will land on three
and you will chose a black marble?
Draw a tree diagram:
COIN SPINNER MARBLE OUTCOME
White heads, 1, white
1 Black heads, 1, black
Striped heads, 1, striped
White heads, 2, white
heads 2 Black heads, 2, black
Striped heads, 2, striped
White heads, 3, white
3 Black heads, 3, black
Striped heads, 3, striped
White heads, 1, white
1 Black tails, 1, black
Striped tails, 1, striped
White tails, 2, white
tails 2 Black tails, 2, black
Striped tails, 2, striped
White tails, 3, white
3 Black tails, 3, black
Striped tails, 3, striped

6. There are 18equally likely outcomes.
P(heads, 1, black) = 1
18
1. What is the probability of the
spinner landing on B both times? _____ _________
2. What is the probability of the
spinner landing on B, then C? ___ ______________
3. What is the probability of the spinner
landing on a vowel and then a consonant?
4. What is the probability of not spinning D either time? __
_________________
A coin is tossed three times.
5. How many possible outcomes are there? Make a tree
diagram 8 outcomes
6. What is the probability of the coin landing heads up three
times? ____ ________
7. What is the probability of the coin landing heads up twice and tails up once? _
__
There are five cards numbered 1, 2, 3, 4, and 5 in a bag. Each
time a card is drawn, it is replaced. Find the probability of each
event.
8. P(1, then 2) 9. P(4, then 4)
1 1
25 25
10. P(2, then odd) 11. P(even, then 5)
3 2

7. 25 25
12. What is the probability of a coin landing on heads and a number cube landing
on an even number?
1
4