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Lesson 8 Skills Practice
Probability of Compound Events
Draw a tree diagram to find the number of outcomes for each situation.
1. Three coins are tossed.
Coin 1
Coin 2
H
H
T
H
T
T
2. A number cube is rolled and a coin is tossed.
Coin 3
Outcomes
H
HHH
T
H
HHT
HTH
T
HTT
H
THH
T
H
THT
TTH
T
TTT
Number
Cube
1
2
3
4
5
6
Coin
Outcomes
Heads
Tails
Heads
Tails
Heads
Tails
Heads
Tails
Heads
Tails
Heads
Tails
1, Heads
1, Tails
2, Heads
2, Tails
3, Heads
3, Tails
4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
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Find the total number of outcomes in each situation.
3. One card is drawn from a standard deck
of cards. 52 outcomes
4. Three six-sided number cubes are rolled.
5. One coin is flipped three consecutive times.
6. One coin is flipped and one eight-sided die
is rolled. 16 outcomes
8 outcomes
7. A sweater comes in 3 sizes and 6 colors.
18 outcomes
216 outcomes
8. A restaurant offers dinners with a choice
each of two salads, six entrees, and five
desserts. 60 outcomes
Find each probability.
9. Draw the ace of spades from a standard
1
deck of cards. −
52
11. Draw the six of clubs from a standard deck
1
of cards. −
52
1
13. Roll a 7 or an 8 on an eight-sided die. −
4
10. A coin is tossed twice. What is the
1
probability of getting two tails? −
4
12. Roll a 4 or higher on a six-sided number
1
cube. −
2
14. Roll an even number on an eight-sided die.
1
−
2
15. Draw a club from a standard deck of cards. 16. Roll an odd number on a six-sided number
1
1
cube. −
−
2
4
17. A coin is tossed and an eight-sided die is
18. A coin is tossed and a card is drawn from a
rolled. What is the probability that the coin
standard deck of cards. What is the
lands on tails, and the die lands on a 2?
probability of landing on tails and choosing
1
1
a red card? −
−
4
16
Math Accelerated • Chapter 10 Statistics and Probability