4-3 sample space notes key

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NAME
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PERIOD
Study Guide and Intervention
Q,
Constructing Sample Spaces
The set of all possible outcomes Is called the sample space.
A tree diagram Is a diagram used to show the total number of possible outcomes. It can be used to
show the sample space. When you make a tree diagram, you have an organized llst of outcomes.
When you know the number of outcomes, you can easily find the probability that an event will occur.
" How many sandwiches.are possibIe from a choice of turkey or ham
with jack cheese or Swiss cheese?
Draw a tree diagram.
Sandwich
Outcome
Cheese
,TJ @
lack (J}
/ turkey (T)
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Ts @
ÿ"ÿ-- Svÿiss (S)
jack (J)
Swiss
There are ÿ possible sandwiches.
Use the tree diagram from Example 1o Find the probabiHty of
choosing a ham with jack cheese sandwich,
The outcome column of the tree diagram shows there. ÿÿsible outcome for ham with
jack cheese. There arena outcomes. So, P(ham, jack) = -ÿ, 0.25, or 25%.
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6
Draw a tree diagram to show the' sample space for each situation,
Then tell how many outcomes are possible and f'md the probability,
2. toss a coin aÿ roll a number cube
1. buy a can(oÿa bottle of grap oe oÿ
m
Find P(4, tails).
orange soda
Find P(botfle, grape),
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3, wear jeans rÿhorts wit;h a blue, white, black, or red T-shirt. FindP(jeans, tÿ
white T-shirt).
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Chapter 7
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DATE
Skills Practice
PERIOD
PH Np
Constructing Sample Spaces
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1. In how many ways can 2 coins be chosen from a set of 1 penny, 1 nickel,
1 dime, and 1 quarter? Make an organized list to show the sample space.
Draw a tree diagram to show the sam
space for each situation,
Then tell how many outcomes are possible and find the given
probability.
2. Each spinner is spun once. How many outcomes are
possible? Find P(pinlL Z).
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chocolate, vanilla, strawberry, or mint ice cream with s uugar or waffle cone
How many otÿtcomes are possible? Find P(vanilla, waffle).
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4, paint room cream, violet, or blue with red, white or gold trim
How many outcomes are possible? Find P(bÿ
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Chapter 7
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Glencoe MAC1
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NAME
DATE
PERIOD
Practice
Constructing Sample Spaces
1, SCULPTURE Diego is lining up driÿwood sculptures in front of his woodshop.
He has a dolphin, gull, seal, arid a whale. In how many different ways can he
line up his sculpguresÿ Make an organized list to show the sample space.
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For Exercises 3-5, a coin is tossed, and the
spinners shown are spun,
Spinner 1
Spinner 2
3. How manyoutcomes are possible? [IDJ
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4, What is P(heads, C, G)? Iÿ I
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5. Find P(tails, D, a vowel). 2-
"ÿ ÿ- ÿ:ÿ
Chapter 7
-rÿ- ÿ
Glencoe MAC1
i
NAME
PEBiOD --
DATE
Word Problem Practice
Constructing Sample Spaces
1, OUTINGS Olivia and Candace ave
can choose among a yellow, green, or
multi-colored female or male parrot.
oÿvleÿalk in the park, or go for_ÿ
raw a tree.ingrain to
show the sample space. How many
Draw a tree diagram showing all the
probability he will choose a yellow
choices do they have?
female?
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2ÿ PETS Terence is going to get a parrot. He
deciding betweeÿtalian or Chlneseÿsÿ
food and then whether to go to a
ways Terence can choose. What is the
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CAKE Julia is ordering a birthday
1
GAMES Todd plays a game in whichyou.
cake. She can have a circular o1"
toss a coin and roI1 a number cube. Draw
rectangular chocolate or vanilla cake
with chocolate, vanilla, or maple
frosting. Draw a tree diagram showing
all the possible ways Julia can order
her cake, How many options does she
have? c
a tree diagram to find all possible
outcomes. What is .P(headÿ, odd
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fÿ
o
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3
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==
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;CHOOL Metissa can choose two
"J classes. Her choices are wood shop,
painting, chorus, and auto shop. List
all the ways two classes can be .ÿ
chosen.
five he likes. How many ways can he
choose? /ÿ /ÿ ÿ fÿfÿ/ÿ5
ÿ-ÿb¢
P
'3-
;q ÿ5"
Chapter 7
5"
Glencoe MAC1

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