Question

What is the probability of drawing a red face card (a face card is a jack, queen, or king) from a standard deck of 52 cards?

   What is the probability of drawing a red face card (a face card is a jack, queen, or king) from a standard deck of 52 cards?

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 10, Problem 30

Instant Answer

Solved by Expert Charles Carter

04/19/2020

Step 1

A standard deck has 52 cards: 26 of them are red (hearts and diamonds) and 26 of them are black (spades and clubs). Among the red cards, there are 2 face cards (jack, queen, or king) for each suit, so there are 2*2 = 4 red face cards. Show more…

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What is the probability of drawing a red face card (a face card is a jack, queen, or king) from a standard deck of 52 cards?

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Key Concepts

Probability

Probability is the measure of how likely an event is to occur. It is calculated by comparing the number of favorable outcomes to the total number of possible outcomes in a given experiment. This fundamental concept is used to quantify uncertainty and to make predictions based on known information.

Counting Principles

Counting principles involve methods and rules to determine the number of ways an event can happen. Techniques such as counting favorable outcomes using basic arithmetic, permutations, and combinations are often applied to calculate probabilities accurately by establishing the total number of potential configurations in an experiment.

Standard Deck of Cards

A standard deck of cards is a common sample space used in probability problems. It consists of 52 cards divided into suits and ranks. Understanding the composition and structure of a standard deck is crucial when determining outcomes related to card draws or games of chance.

Favorable and Total Outcomes

This concept involves identifying the outcomes that satisfy the event of interest (favorable outcomes) and the overall possible outcomes (total outcomes). The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes, which is a central technique in solving many probability problems.

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