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
2:50 minutes
Problem 17
Textbook Question
Textbook QuestionIn Exercises 17–20, you are dealt one card from a standard 52-card deck. Find the probability of being dealt a queen.
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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 being dealt a queen from a standard deck of cards. The formula for probability is the number of favorable outcomes divided by the total number of possible outcomes.
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Favorable Outcomes
Favorable outcomes refer to the specific results that align with the event of interest. In this case, the favorable outcomes are the four queens in a standard 52-card deck. Understanding the number of favorable outcomes is crucial for calculating the probability of drawing a queen.
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Total Outcomes
Total outcomes represent all possible results that can occur in a given scenario. For a standard 52-card deck, the total outcomes when drawing one card is 52. This concept is essential for determining the denominator in the probability calculation, as it provides the context for how many options are available.
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