Lesson 15
Grade 6
Name:
ÿ .ÿ4ÿf
Period:
t
Date:
Complementary Events
Answer the questions below. You will need a blue and a red crayon, colored pencil, or marker.
B
F
C
E
D
1 Shade the vowels on the spinner in blue.
f
2 What fraction of the spinner is blue?
ÿ
3
3 What is the probability of spinning a vowel on the first spin? Co ÿ
4 Shade the letters on the spinner that are NOT vowels in red.
'_ÿrL_- 2--
5 What fraction of the spinner is red?
ÿ
'%
6 What is the probability of NOT spinning a vowel on the first spin?
7 What is the su...___m of the fraction of the spinner that is blue and the fraction of the spinner
that is red?
--'r -ÿ 4
I
i3 ;3/
3
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© Region 4 Education Service Center
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Closing the Distance: A Flexible Tutorial for TAKSTM
273
Lesson 15
Grade 6
Name:
Period:
Date:
Round Robin: Probability
1.ÿ Pass your paper to the person seated at your right and solve the first problem on the
paper you have received. You may work with your group to solve the problem.
2. Upon completion, pass the papers to the right again and solve the second problem.
Again, you may work together to solve the problem.
3. Continue this process for the remaining problems.
4. Upon completion, return the paper to the original owner.
Problem 1
Problem 3
q
Natalie has 2 purple rings, 4 black rings,
and 3 yellow rings in a bag. If she draws a
ring at random from the bag, what is the
A container in the gym has 1 blue
basketball, 2 green basketballs, 5 brown
basketballs, and 2 red basketballs. All the
basketballs are the same size. If Giovanni
takes a basketball from the container
probability that she will draw:
a purple ring?
"ÿ
without looking, what is the probability that
he will choose:
ÿ !
3
a ring that is NOT purple? "ÿa green basketball? /ÿ5
5-
What is the sum of the probabilities of
these events?
,:2- 4.:_,7 _ ÿ.ÿ
a basketball that is NOT green9
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What is the sum of the probabilities of
these events?
Problem 2
ÿ-
Jÿ÷ ÿ --ÿ--ÿ
Problem 4
Michelle has 3 red marbles, 2 green
marbles, 5 white marbles, and 10 blue
marbles in a bag. If she randomly selects
a marble without !ooking, what is the
that the arrow will NO...N.Qÿand on a
probability that the marble is NOT white?
numbered section of the spinner?
A
ÿ-
B -1
2
If each section of the spinner shown below
is the same size and Gustavo spins the
spinner one time, what is the probability
ÿ-
D 1--
b
10
Closing the Distance: A Flexible Tutorial for TAKSTM
274
© Region 4 Education Service Center
All Rights Reserved
NAME
DATE
PERIOD
Study Guide and Intervention
Probability
When tossing a coin, there are two possible outcomes, heads and tails. Suppose you are looking for
heads. If the coin lands on heads, this would be a favorable outcome or simple event. The chance that
some event will happen (in this case, getting heads) is called probability. You can use a ratio to find
probability. The probability of an event is a number from 0 to 1, including 0 and 1. The closer a
probability is to 1, the more likely it is to happen.
\
..........
0%
, ,+:;
25%
...........
50%
75%
100%
There are four equally likely outcomes on the
spinner. Find the probability of spinning green or blue.
P(green or blue) = number of favorable outcomes
number of possible outcomes
-42 or1
1
The probability of landing on green or blue is ÿ, 0.50, or 50%.
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happen at the same time. The sum of the probabilities of complementary events is 1.
I omplementary events are two events in which either one or the other must happen, but both cannot
There is a 25% chance that Sam will win a prize. What is the
probability that Sam will not win a prize?
P(win) + P(not win) = 1
0.25 + P(not win) = 1
-0.25
= -0.25
P(not win) = 0.75
@
Replace P(win) with 0.25.
Subtract 0.25 fromeach side.
So, the probability that Sam won't win a prize is 0.75, 75%, or 3,
o
1. There is a 90% chance that it will rain. Wÿe probabiI]ty that it will
/ _ÿ
,.r
t")
o
One pen is chosen without looking from a bag that has 3 blue pens,
6 red, and 3 green. Find the probability of each event. Write each
answer as a fraction, a decimal, and a percent.
(
\.
2. P(green)
3
Chapter 7
3. P(blue or red)
4. P(yellow)
\
28
Glencoe MACl
¢
Lesson 15
Grade 6
Name:
Period:
(
Date:
Evaluate: Probability
1
3
A plastic bag contains 9 tiles
Mrs. Coronado has a reward basket
numbered 1 though 9. What is the
with 10 purple gel pens, 5 silver gel
probability that a tile selected at
random from the bag will be
pens, 10 black gel pens, and 5 gold
gel pens. If one of her students
selects a gel pen at random, what is
the probability of selecting a silve._ÿ.r
marked with an o.dd_number?
gel pen?
4
A -9
ÿ-"
G
.ÿ
B --
B
1
5
1
2
C -
9
D --
D 5-
10
(
2
6
If Brandon spins the spinner shown
below one time, what is the
4
probability that the spinner will land
A gum-ball machine contains 12 red
gum balls, 5 white gum balls, and
on a number ÿ than 67
3 blue gum balls. If Julie buys a
gum ball from the machine, what is
the probability that she will NO_Qÿ.T
get a white gum ball?
ko
A
1
4
1
3
B -
8
P
1
2
C -
5
C
.
D
3 " "-_3 .,,. &
4
5
6
Closing the Distance: A Flexible Tutorial for TAKSrM
276
© Region 4 Education Service Center
All Rights Reserved
NAME
DATE
PERIOD
Skills Practice
Probability__
(ÿ "ÿ Jr $ , ÿ
A card is randomly chosen. Find each probability, Write '
each answer aÿ ÿÿ.,ÿ. ÿ.]-, ÿ.9.ÿ_-.._'-1 c.ÿ':'_--"79ÿ'ÿ.
L P(B)
ÿ
"7
2. P(QorR)"e'_
"ÿ'- I"ÿ ÿ"
) ÿ=
3. P(vowel.)
3
-'3
5"
4. P(consonanÿ or vowel)
5. P(consonant or A)
7:-q
6. P(T) ¢, 2
The spinner shown is spun once. Write a sentence
explaining how likely it is for each event to occur.
7. P(dog)
8. P(hamster) I
--Iÿ u-ÿttKe_.t,-j
3
9. P(dog or cat) g- li I<..ÿ_.!.
10, P(bird)
ÿ" Iv'iLaÿil"t
0
_ÿ .bÿl [ÿ.
6
!
td
11. P(mammal) k?
.-I cer4vÿ-
I
I
0
g
] tvÿ O 5ÿ;'ÿ lol
WEATHER The weather reporter says that there is a 12% chance that it
will bÿaÿ windy tomorrow,
12. What is the probability thaÿ it will rÿot be windy? ÿ ÿ,
13, Will ÿomoÿrow be a good day to fly a kite? Explain.
L( 0 ttxilÿv')-
t l
?<'
Chaplet 7
29
Glencoe MAC1