Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

10. Combinatorics & Probability

Probability

College Algebra

10. Combinatorics & Probability

Probability

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2:38 minutes

Problem 19

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.

Verified step by step guidance

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.

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.

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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Related Practice

Multiple Choice

The spinner below has 6 equal colored regions numbered 1-6. Find the probability of stopping on yellow for the first spin, stopping on an even number on the second spin, and stopping on blue or red on the third spin.

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