Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
10. Combinatorics & Probability
Probability
1:52 minutes
Problem 15
Textbook Question
Textbook QuestionIn Exercises 11–16, a die is rolled. Find the probability of getting a number greater than 4.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Probability
Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it quantifies the chance of rolling a number greater than 4 on a standard six-sided die. The formula for probability is the number of favorable outcomes divided by the total number of possible outcomes.
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Sample Space
The sample space is the set of all possible outcomes of a random experiment. For a single roll of a six-sided die, the sample space consists of the numbers {1, 2, 3, 4, 5, 6}. Understanding the sample space is crucial for calculating probabilities, as it provides the context for determining favorable outcomes.
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Favorable Outcomes
Favorable outcomes are the specific results of an experiment that satisfy the condition of interest. In this case, the favorable outcomes for rolling a number greater than 4 are the numbers 5 and 6. Identifying these outcomes is essential for calculating the probability of the event occurring.
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