Two fair dice are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment: A represent the event the uppermost faces sum to five B represent the event that the product of the uppermost faces is four. For example, die1*die2 = 4 C' represent the event that the absolute difference between the uppermost faces is 1. For example, |die1 - die2| = 1 Part (a) Find the probability that the uppermost faces do not sum to five. (Use four decimals in your answer) Part (b) Find P(AUC) (Use four decimals) Part (c) What is the probability that the uppermost faces do not sum to five or are not a product of 4? (use four decimals) Part (d) Are the events a sum of 5 and a product of 4 mutually exclusive events? Select the most appropriate reason below. A. A sum of 5 and a product of 4 are mutually exclusive events because they are not independent events. OB. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B). C. A sum of 5 and a product of 4 are mutually exclusive events because P(ANB) = 0. D. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) ± 0. E. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B).
Two fair dice are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment: A represent the event the uppermost faces sum to five B represent the event that the product of the uppermost faces is four. For example, die1*die2 = 4 C' represent the event that the absolute difference between the uppermost faces is 1. For example, |die1 - die2| = 1 Part (a) Find the probability that the uppermost faces do not sum to five. (Use four decimals in your answer) Part (b) Find P(AUC) (Use four decimals) Part (c) What is the probability that the uppermost faces do not sum to five or are not a product of 4? (use four decimals) Part (d) Are the events a sum of 5 and a product of 4 mutually exclusive events? Select the most appropriate reason below. A. A sum of 5 and a product of 4 are mutually exclusive events because they are not independent events. OB. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B). C. A sum of 5 and a product of 4 are mutually exclusive events because P(ANB) = 0. D. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) ± 0. E. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 1E
Related questions
Question
Need help with the following questions on statistics.
Transcribed Image Text:Two fair dice are tossed, and the uppermost face of each die is observed. The following events are defined from this random experiment:
A represent the event the uppermost faces sum to five
B represent the event that the product of the uppermost faces is four. For example, die1*die2 = 4
C' represent the event that the absolute difference between the uppermost faces is 1. For example, |die1 - die2| = 1
Part (a) Find the probability that the uppermost faces do not sum to five.
(Use four decimals in your answer)
Part (b) Find P(AUC) (Use four decimals)
Part (c) What is the probability that the uppermost faces do not sum to five or are not a product of 4? (use four decimals)
Part (d) Are the events a sum of 5 and a product of 4 mutually exclusive events? Select the most appropriate reason below.
A. A sum of 5 and a product of 4 are mutually exclusive events because they are not independent events.
OB. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B).
C. A sum of 5 and a product of 4 are mutually exclusive events because P(ANB) = 0.
D. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) ± 0.
E. A sum of 5 and a product of 4 are not mutually exclusive events because P(ANB) = P(A)P(B).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
