Transcript over Lesson 15–3

Five-Minute Check (over Lesson 15–3)
Main Idea and Vocabulary
Example 1: Use Tree Diagrams to List Outcomes
Example 2: Find Probability
• I will list outcomes of a probability experiment.
• tree diagram
Use Tree Diagrams
to List Outcomes
Four of the coasters at Wonderland Park are
Tornado, Free Fall, Big Coaster, and Cyclone. Two
of the water rides are Thunder Jet Racer and
Shoot the Chute. Make a tree diagram to show all
possible 2-ride combinations if a person rides a
coaster first and then a water ride.
The roller coasters are Tornado, Free Fall, Big
Coaster, and Cyclone. List the coasters. The water
rides are Thunder Jet Racer and Shoot the Chute.
For each coaster, list the water rides.
Use Tree Diagrams
to List Outcomes
Coasters
Tornado
Free Fall
Big Coaster
Cyclone
Water Rides
Outcomes
Thunder Jet
T, TJ
Shoot the Chute
T, SC
Thunder Jet
FF, TJ
Shoot the Chute
FF, SC
Thunder Jet
BC, TJ
Shoot the Chute
BC, SC
Thunder Jet
C, TJ
Shoot the Chute
C, SC
Use Tree Diagrams
to List Outcomes
Answer: There are 8 possible combinations. These
are listed as outcomes on the tree diagram.
Ted tosses a coin and spins a spinner that has 4
colors: red, yellow, blue, and green. How many
possible outcomes are there for Ted when he
tosses a coin and spins the spinner?
A. 2
0%
D
D. 10
A
0%
A
B
C
D
0%
C
C. 8
1.
2.
3.
4.
0%
B
B. 4
Find Probability
A spinner has 3 sections
of equal size and each
section is a different color.
Suppose you spin a
spinner two times. What is
the probability of spinning
the same color?
Find Probability
First Spin
Second Spin
Outcome
Red
Red
Blue
Green
Red, Red
Red, Blue
Red, Green
Blue
Red
Blue
Green
Blue, Red
Blue, Blue
Blue, Green
Green
Red
Blue
Green
Green, Red
Green, Blue
Green, Green
favorable
outcome
Find Probability
P(same color) =
number of favorable outcomes
number of possible outcomes
3
=
9
number of favorable outcomes
total number of outcomes
1
=
3
Simplify.
Answer: So, the probability of spinning the same
color is 1 .
3
A spinner has 3 sections of equal size. The colors
of those sections are green, red, and blue.
Suppose you spin the spinner two times. What is
the probability of spinning red and then green?
A. 1
7
0%
B
A
1
D. 9
0%
A
B
C
D 0%
D
3
C. 8
1.
2.
3.
4. 0%
C
1
B. 8
End of the Lesson
Five-Minute Check (over Lesson 15–3)
Image Bank
Math Tool Chest
Make a Prediction
(over Lesson 15–3)
Solve by making an organized list.
A bagel shop is having a buy one, get one free
special. They have cranberry, blueberry, strawberry,
raisin, and pizza bagels. What are all the possible
two bagel combinations that you can buy on special?
0%
0%
D
0%
A
B
C
D
C
1.
2.
3.
4.
B
0%
A
A. cc, cb, cs, cr, cp, bb, bs, br,
bz, ss, sr, sp, rr, rp, pp
B. cc, cs, cr, cp, bb, bs, br, bz,
ss, sr, sp, rr,
C. cc, cb, cs, cr, cp, bb, bs, br, bz
D. cc, cb, cs, cr, bb, bs, br, sr, sp,
rr, rp, pp