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
2:57 minutes
Problem 40
Textbook Question
Textbook QuestionIn Exercises 39–44, you are dealt one card from a 52-card deck. Find the probability that you are not dealt a picture card.
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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 not being dealt a picture card 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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Deck of Cards
A standard deck of cards consists of 52 cards divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including numbered cards (2-10) and face cards (Jack, Queen, King). Understanding the composition of the deck is essential for calculating probabilities related to specific card types, such as picture cards.
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Complementary Events
Complementary Events
Complementary events are pairs of outcomes where one event occurs if and only if the other does not. In this scenario, the event of being dealt a picture card and the event of not being dealt a picture card are complementary. The probability of not being dealt a picture card can be calculated by subtracting the probability of being dealt a picture card from 1.
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