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
1:56 minutes
Problem 11
Textbook Question
Textbook QuestionIn Exercises 11–16, a die is rolled. Find the probability of getting a 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. An event with a probability of 0 means it cannot happen, while a probability of 1 means it is certain to happen. In this context, we are interested in the probability of rolling a specific number on a die.
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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 fair 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 total number of outcomes against which specific events are measured.
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Favorable Outcomes
Favorable outcomes refer to the specific results of an experiment that satisfy the condition of interest. In this case, the favorable outcome is rolling a 4. To find the probability of this event, we compare the number of favorable outcomes to the total number of outcomes in the sample space.
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