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
Problem 19Blitzer - 8th Edition
Textbook Question
In Exercises 17–20, you are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
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Identify the total number of cards in a standard deck, which is 52.
Recognize that picture cards in a deck are the Jacks, Queens, and Kings.
Determine the number of picture cards: there are 3 picture cards (Jack, Queen, King) in each of the 4 suits (hearts, diamonds, clubs, spades).
Calculate the total number of picture cards by multiplying the number of picture cards per suit by the number of suits: 3 picture cards/suit * 4 suits.
Find the probability by dividing the number of picture cards by the total number of cards in the deck.
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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 ratio of favorable outcomes to the total number of possible outcomes. In this context, it helps determine the chance of drawing a specific type of card from a deck.
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Standard 52-Card Deck
A standard 52-card deck consists of four suits: hearts, diamonds, clubs, and spades, each containing 13 cards. Among these, the picture cards are the Jack, Queen, and King from each suit, totaling 12 picture cards in the deck.
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Favorable Outcomes
Favorable outcomes refer to the specific results that align with the event of interest—in this case, drawing a picture card. Understanding how many favorable outcomes exist is crucial for calculating the probability accurately.
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Textbook Question
In 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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