A box contains three yellow balls labeled A, B, C respectively, four green balls labeled X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box (without replacing it) and then you remove a second ball from the box. (a) If only the letter on each ball is recorded, state the sample space S1. (b) If only the color of each ball is recorded, state the sample space S2. (c) If only the letter on the first ball chosen is recorded and only the color of the second bal oplo cnaco S as a set

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
icon
Related questions
Topic Video
Question
1. A box contains three yellow balls labeled A, B, C respectively, four green balls labeled
X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box
(without replacing it) and then you remove a second ball from the box.
(a) If only the letter on each ball is recorded, state the sample space S1.
(b) If only the color of each ball is recorded, state the sample space S2.
(c) If only the letter on the first ball chosen is recorded and only the color of the second ball
chosen is recorded, express the sample space, S, as a set.
Transcribed Image Text:1. A box contains three yellow balls labeled A, B, C respectively, four green balls labeled X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box (without replacing it) and then you remove a second ball from the box. (a) If only the letter on each ball is recorded, state the sample space S1. (b) If only the color of each ball is recorded, state the sample space S2. (c) If only the letter on the first ball chosen is recorded and only the color of the second ball chosen is recorded, express the sample space, S, as a set.
Expert Solution
Step 1

1.

From the given information, a box contains three yellow balls labeled A, B, C, four green balls labeled X, Y, Z, W and one red ball labeled Q.

Two balls are removed from the box without replacement.

a)

IF only the letter on each ball is recorded.

Sample space S1:

S1=(A,B), (B,A)(X, Q), (Q,X)(Z,W), (W,Z) (A,C), (C,A)(B,C), (C,B)(W, Q), (Q,W)(A,X), (X,A)(B,X), (X,B)(C,X), (X,C)(A,Y), (Y,A)(B,Y), (Y,B)(C,Y), (Y,C)(A,Z), (Z, A)(B,Z), (Z,B)(C,Z), (Z,C)(A,W), (W,A)(B,W), (W,B)(C,W), (W,C)(A,Q), (Q,A)(B,Q), (Q,B)(C,Q), (Q,C)(X,Y), (Y,X)(X,Z), (Z,X)(Z, Q), (Q,Z)(X,W), (W,X) (Y,Z), (Z,Y)   (Y,W), (W,Y)    (Q,Y),(Y, Q)  

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL