Download Report

Name_________________________________________________________
9.4
Date __________
Practice A
Tell whether the events are independent or dependent. Explain.
1. You spin a spinner twice.
First Spin: You spin a 2.
Second Spin: You spin an odd number.
2. Your committee is voting on the leadership team.
First Vote: You vote for a president.
Second Vote: You vote for a vice president.
3. You randomly draw a tile from a bag of 20 game tiles. You keep the tile
and then draw a second tile.
First Draw: Move 3 spaces
Second Draw: Skip a Turn
4. You randomly draw a tile from a bag of 20 game tiles. You put the tile back
in and then draw a second tile.
First Draw: Move 3 spaces
Second Draw: Skip a Turn
A spinner has two equal sections labeled A and B.
You spin it three times. Use the tree diagram to find
the probability of the events.
Spin 1
Spin 2
A
A
B
5. Spinning an A, then an A, then a B
A
6. Spinning three Bs
B
7. Spinning two Bs, followed by an A
B
Spin 3
A
B
A
B
A
B
A
B
Outcome
AAA
AAB
ABA
ABB
BAA
BAB
BBA
BBB
The students in Classroom 101 consist of 13 girls and 7 boys. The students
in Classroom 103 consist of 8 girls and 12 boys. You randomly choose one
student from each classroom. Find the probability of the events.
8. Choosing a boy from both classrooms
9. Choosing a girl from Classroom 101 and a boy from Classroom 103
10. Choosing a boy from Classroom 101 and a girl from Classroom 103
11. You randomly choose 2 students from Classroom 101 to compete in
a competition.
a. First Choice: girl
Second Choice: girl
b. First Choice: boy
Second Choice: girl
c. First Choice: girl
Second Choice: boy
Copyright © Big Ideas Learning, LLC
All rights reserved.
Big Ideas Math Red
Resources by Chapter
389
Name _________________________________________________________ Date _________
9.4 Puzzle Time
What Washes Up On Very Small Beaches?
Write the letter of each answer in the box containing the exercise number.
A bag contains the following number of chips: 10 red, 8 white,
6 blue, and 8 yellow. You randomly pick one chip from the
bag. Without replacing the chip, you randomly pick a second
chip. Find the probability of choosing the first chip, then the
second chip.
1. Red and yellow
2. Yellow and blue
3. Blue and blue
4. White and yellow
5. Not white and not white
6. Blue and not red
You are playing a treasure hunt card game that includes
8 treasure chests, 7 pirates, and 9 islands. Each player is
dealt 5 cards. Before seeing any of the cards, you randomly
make a guess as to which treasure chest is hidden, which
pirate buried the treasure, and on which island the treasure
is buried.
Answers
E.
2
31
I.
1
504
V.
1
252
S.
3
62
W.
1
189
M.
63
496
A.
5
62
C.
1
225
R.
69
124
O.
15
496
7. What is the probability that you got all three correct before
looking at your cards?
8. You look at your cards and are able to eliminate 2 of the treasure chests,
1 of the pirates, and 2 of the islands. Now you try to guess the correct
treasure chest, pirate, and island. What is the probability that you get all
three correct?
9. One of your opponents looks at her cards and is able to eliminate 3 treasure
chests and 2 pirates, but none of the islands. She tries to guess the correct
treasure chest, pirate, and island. What is the probability that she gets all
three correct?
10. Another of your opponents looks at his cards and is able to eliminate
5 treasure chests, but no pirates and no islands. He tries to guess the
correct treasure chest, pirate, and island. What is the probability that he
gets all three correct?
6
7
392 Big Ideas Math Red
Resources by Chapter
9
5
3
10
1
8
4
2
Copyright © Big Ideas Learning, LLC
All rights reserved.