Katie is playing a word game in which tiles with single letters on them are drawn from a bag. Toward the end of the game, the remaining tiles have the letters Z, A, I, L, A, and L. Katie draws two tiles at random. Find all of the ways in which Katie can draw two of the same letter. You can make a table that lists all of the possibilities. Each listed pair is (first draw, second draw). There are 4 ways that Katie can draw two of the same letter. Z, A Z, A Z.1 I, A Z,L Z,L I,L I,L 1,Z I A LA L,A L, A L,Z L A A, L A, Z A,I A,L A, L A, Z A A,I A,L 1 You also can represent the sample space by using a tree diagram. The top letters are the first letter drawn. The lower letters are the second letter drawn. Complete the diagram. AILAL 2 Explain how to use the tree diagram to find all of the ways that Katie can draw two of the same letter.
Katie is playing a word game in which tiles with single letters on them are drawn from a bag. Toward the end of the game, the remaining tiles have the letters Z, A, I, L, A, and L. Katie draws two tiles at random. Find all of the ways in which Katie can draw two of the same letter. You can make a table that lists all of the possibilities. Each listed pair is (first draw, second draw). There are 4 ways that Katie can draw two of the same letter. Z, A Z, A Z.1 I, A Z,L Z,L I,L I,L 1,Z I A LA L,A L, A L,Z L A A, L A, Z A,I A,L A, L A, Z A A,I A,L 1 You also can represent the sample space by using a tree diagram. The top letters are the first letter drawn. The lower letters are the second letter drawn. Complete the diagram. AILAL 2 Explain how to use the tree diagram to find all of the ways that Katie can draw two of the same letter.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Lesson 33A
Name:
Represent Sample Spaces and Identify Outcomes
Study the example showing how to represent sample
spaces and identify outcomes. Then solve problems 1-4.
Example
Katie is playing a word game in which tiles with single letters
on them are drawn from a bag. Toward the end of the game,
the remaining tiles have the letters Z, A, I, L, A, and L. Katie
draws two tiles at random. Find all of the ways in which Katie
can draw two of the same letter.
You can make a table that lists all of the
Z,A
Z,1
Z,L
Z, A
Z,L
possibilities. Each listed pair is (first draw,
second draw). There are 4 ways that Katie
can draw two of the same letter.
I, L
I, A
1,L
1, Z
1, A
L, A
LD
L, Z
L, A
L,I
L, A
L,Z
L, A
L,I
A, L
A, Z
A, I
A,L
A, L
A, Z
A.A
A, I
A, L
1 You also can represent the sample space by using a
tree diagram. The top letters are the first letter drawn.
The lower letters are the second letter drawn.
Complete the diagram.
AILAL
2 Explain how to use the tree diagram to find all of
the ways that Katie can draw two of the same letter.
©Curriculum Associates, LLC Copying is not permitted.
Lesson 33A Probability of Compound Events
347
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