19. Use the following random compound experiment: A coin is flipped, and a ball is drawn from a bag that contains 5 red balls, 2 yellow balls, and 3 blue balls. Part A: Draw and label the tree diagram for this compound experiment. Part B: List the sample space at the end of each branch. Part C: Compute the probabilities for each simple event. Event D = {The ball drawn is yellow} Event E= {The coin lands on tails} Part D: What is the probability of D? Answer: p(D)=_ Part E: What is the probability of DUE? Answer: p (DUE)=_ Quants? Defend your answer mathematically.

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 2C
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19.
Use the following random compound experiment:
A coin is flipped, and a ball is drawn from a bag that contains 5 red balls, 2 yellow balls, and 3 blue
balls.
Part A: Draw and label the tree diagram for this compound experiment.
Part B: List the sample space at the end of each branch.
Part C: Compute the probabilities for each simple event.
Event D = {The ball drawn is yellow}
Event E= {The coin lands on tails}
Part D: What is the probability of D? Answer: p(D)=_
Part E: What is the probability of DU E? Answer: p (DE) =_
Part F: Are D and E independent events? Defend your answer mathematically.
Answer: YES or NO (circle one)
321
Transcribed Image Text:19. Use the following random compound experiment: A coin is flipped, and a ball is drawn from a bag that contains 5 red balls, 2 yellow balls, and 3 blue balls. Part A: Draw and label the tree diagram for this compound experiment. Part B: List the sample space at the end of each branch. Part C: Compute the probabilities for each simple event. Event D = {The ball drawn is yellow} Event E= {The coin lands on tails} Part D: What is the probability of D? Answer: p(D)=_ Part E: What is the probability of DU E? Answer: p (DE) =_ Part F: Are D and E independent events? Defend your answer mathematically. Answer: YES or NO (circle one) 321
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