Asked by Mikayla Muller on May 30, 2024
Verified
Three randomly chosen fourteen-year-old junior high students who had not yet taken driver's education classes were given the written part of the Michigan Driver's Exam. Each student was graded as passing (P) or failing (F) the written exam.
a.Describe the sample space; that is, list all possible combinations of the three students' grades.
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b.Assuming each combination in part (a) is equally likely, what is the probability all three students fail?
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c.Assuming each combination in part (a) is equally likely, what is the probability at least one student passes the written test?
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d.Assuming each combination in part (a) is equally likely, and if you knew at least one student passed the test, what is the probability all three students passed the test?
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Sample Space
The complete set of all possible outcomes of a random experiment or event.
Driver's Exam
A test designed to evaluate an individual's knowledge and skills in driving to determine their eligibility for a driver's license.
Probability
A quantification of the chances of a given event happening, with its value lying anywhere from 0 to 1.
- Gain insight into the core tenets of probability, covering topics such as sample spaces, the definition of mutually exclusive events, and the analysis of conditional probability.
- Create and evaluate sample spaces pertinent to various scenarios, subsequently determining the probabilities stemming from these spaces.
- Assess the likelihood of specific outcomes or events transpiring in a predefined context.
Verified Answer
ZK
Learning Objectives
- Gain insight into the core tenets of probability, covering topics such as sample spaces, the definition of mutually exclusive events, and the analysis of conditional probability.
- Create and evaluate sample spaces pertinent to various scenarios, subsequently determining the probabilities stemming from these spaces.
- Assess the likelihood of specific outcomes or events transpiring in a predefined context.