Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Question
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Chapter 12, Problem 21SGR
To determine

The probability for the given case.

Expert Solution & Answer
Check Mark

Answer to Problem 21SGR

The probability is 0.0609.

Explanation of Solution

Given:

Bob is moving and all of his sports cards are mixed up in the box.

Twelve cards are baseball, eight are football and five are basketball.

The probability for P(1 basketball,2 football)

The total number of the cards is:

  12+8+5=25

The number of ways for selecting the 3 balls out of the 25:

  C(25,3)=25!3!(25−3)!=2300

Now, evaluating the number of ways of selecting 1 basketball card and 2 football cards:

  C(5,1)C(8,2)=5!1!4!.8!2!6=140

Evaluating the probability for selecting 1 basketball and 2 football:

  P(1 basketball, 2 football)=C(5,1)C(8,2)C(25,3)=1402300=0.0609

Therefore, the probability is 0.0609.

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Chapter 12, Problem 20SGR
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Chapter 12, Problem 22SGR

Chapter 12 Solutions

Algebra 2

Ch. 12.1 - Prob. 1ACYPCh. 12.1 - Prob. 1BCYPCh. 12.1 - Prob. 1CCYPCh. 12.1 - Prob. 2ACYPCh. 12.1 - Prob. 2BCYPCh. 12.1 - Prob. 2CCYPCh. 12.1 - Prob. 3CYPCh. 12.1 - Prob. 4CYPCh. 12.1 - Prob. 5CYPCh. 12.1 - Prob. 1CYU
Ch. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 3CYUCh. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7CYUCh. 12.1 - Prob. 8CYUCh. 12.1 - Prob. 9CYUCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22PPSCh. 12.1 - Prob. 23PPSCh. 12.1 - Prob. 24PPSCh. 12.1 - Prob. 25PPSCh. 12.1 - Prob. 26PPSCh. 12.1 - Prob. 27PPSCh. 12.1 - Prob. 28HPCh. 12.1 - Prob. 29HPCh. 12.1 - Prob. 30HPCh. 12.1 - Prob. 31HPCh. 12.1 - Prob. 32HPCh. 12.1 - Prob. 33HPCh. 12.1 - Prob. 34HPCh. 12.1 - Prob. 35HPCh. 12.1 - Prob. 36HPCh. 12.1 - Prob. 37STPCh. 12.1 - Prob. 38STPCh. 12.1 - Prob. 39STPCh. 12.1 - Prob. 40STPCh. 12.1 - Prob. 41STPCh. 12.1 - Prob. 42STPCh. 12.1 - Prob. 43STPCh. 12.1 - Prob. 44STPCh. 12.1 - Prob. 45STPCh. 12.1 - Prob. 46STPCh. 12.1 - Prob. 47STPCh. 12.1 - Prob. 48STPCh. 12.1 - Prob. 49STPCh. 12.1 - Prob. 50STPCh. 12.1 - Prob. 51STPCh. 12.1 - Prob. 52STPCh. 12.1 - Prob. 53STPCh. 12.1 - Prob. 54STPCh. 12.1 - Prob. 55STPCh. 12.1 - Prob. 56STPCh. 12.1 - Prob. 57STPCh. 12.1 - Prob. 58STPCh. 12.1 - Prob. 59STPCh. 12.1 - Prob. 60SCh. 12.1 - Prob. 61SCh. 12.2 - Prob. 1CYPCh. 12.2 - Prob. 2ACYPCh. 12.2 - Prob. 2BCYPCh. 12.2 - Prob. 3ACYPCh. 12.2 - Prob. 3BCYPCh. 12.2 - Prob. 4ACYPCh. 12.2 - Prob. 4BCYPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10CYUCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 32HPCh. 12.2 - Prob. 33HPCh. 12.2 - Prob. 34HPCh. 12.2 - Prob. 35HPCh. 12.2 - Prob. 36HPCh. 12.2 - Prob. 37HPCh. 12.2 - Prob. 38STPCh. 12.2 - Prob. 39STPCh. 12.2 - Prob. 40STPCh. 12.2 - Prob. 41STPCh. 12.2 - Prob. 42SCh. 12.2 - Prob. 43SCh. 12.2 - Prob. 44SCh. 12.2 - Prob. 45SCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7PPSCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27HPCh. 12.3 - Prob. 28HPCh. 12.3 - Prob. 29HPCh. 12.3 - Prob. 30HPCh. 12.3 - Prob. 31HPCh. 12.3 - Prob. 32STPCh. 12.3 - Prob. 33STPCh. 12.3 - Prob. 34STPCh. 12.3 - Prob. 35STPCh. 12.3 - Prob. 36SCh. 12.3 - Prob. 37SCh. 12.3 - Prob. 38SCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2CYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4ACYPCh. 12.4 - Prob. 4BCYPCh. 12.4 - Prob. 4CCYPCh. 12.4 - Prob. 5CYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6PPSCh. 12.4 - Prob. 7PPSCh. 12.4 - Prob. 8PPSCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33STPCh. 12.4 - Prob. 34STPCh. 12.4 - Prob. 35STPCh. 12.4 - Prob. 36STPCh. 12.4 - Prob. 37STPCh. 12.4 - Prob. 38STPCh. 12.4 - Prob. 39STPCh. 12.4 - Prob. 40STPCh. 12.4 - Prob. 41STPCh. 12.4 - Prob. 42STPCh. 12.4 - Prob. 43STPCh. 12.4 - Prob. 44STPCh. 12.4 - Prob. 45STPCh. 12.4 - Prob. 46STPCh. 12.4 - Prob. 47STPCh. 12.4 - Prob. 48SCh. 12.4 - Prob. 49SCh. 12.4 - Prob. 50SCh. 12.4 - Prob. 51SCh. 12.4 - Prob. 52SCh. 12.4 - Prob. 53SCh. 12.5 - Prob. 1CYPCh. 12.5 - Prob. 2CYPCh. 12.5 - Prob. 3CYPCh. 12.5 - Prob. 4CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4PPSCh. 12.5 - Prob. 5PPSCh. 12.5 - Prob. 6PPSCh. 12.5 - Prob. 7PPSCh. 12.5 - Prob. 8PPSCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16HPCh. 12.5 - Prob. 17HPCh. 12.5 - Prob. 18HPCh. 12.5 - Prob. 19HPCh. 12.5 - Prob. 21HPCh. 12.5 - Prob. 22HPCh. 12.5 - Prob. 23HPCh. 12.5 - Prob. 24HPCh. 12.5 - Prob. 25HPCh. 12.5 - Prob. 26HPCh. 12.5 - Prob. 27STPCh. 12.5 - Prob. 28STPCh. 12.5 - Prob. 29STPCh. 12.5 - Prob. 30STPCh. 12.5 - Prob. 31STPCh. 12.5 - Prob. 32STPCh. 12.5 - Prob. 33SCh. 12.5 - Prob. 34SCh. 12.5 - Prob. 35SCh. 12.5 - Prob. 36SCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.6 - Prob. 1CYPCh. 12.6 - Prob. 2CYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5CYUCh. 12.6 - Prob. 6CYUCh. 12.6 - Prob. 7CYUCh. 12.6 - Prob. 8CYUCh. 12.6 - Prob. 9CYUCh. 12.6 - Prob. 10CYUCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19PPSCh. 12.6 - Prob. 20PPSCh. 12.6 - Prob. 21PPSCh. 12.6 - Prob. 22PPSCh. 12.6 - Prob. 23PPSCh. 12.6 - Prob. 24PPSCh. 12.6 - Prob. 25PPSCh. 12.6 - Prob. 26PPSCh. 12.6 - Prob. 27PPSCh. 12.6 - Prob. 28PPSCh. 12.6 - Prob. 29HPCh. 12.6 - Prob. 30HPCh. 12.6 - Prob. 31HPCh. 12.6 - Prob. 33HPCh. 12.6 - Prob. 34HPCh. 12.6 - Prob. 35HPCh. 12.6 - Prob. 36HPCh. 12.6 - Prob. 37HPCh. 12.6 - Prob. 38STPCh. 12.6 - Prob. 39STPCh. 12.6 - Prob. 40STPCh. 12.6 - Prob. 41STPCh. 12.6 - Prob. 42STPCh. 12.6 - Prob. 43STPCh. 12.6 - Prob. 44STPCh. 12.6 - Prob. 45STPCh. 12.6 - Prob. 46STPCh. 12.6 - Prob. 47STPCh. 12.6 - Prob. 48STPCh. 12.6 - Prob. 49SCh. 12.6 - Prob. 50SCh. 12.6 - Prob. 51SCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2CYPCh. 12.7 - Prob. 3CYPCh. 12.7 - Prob. 4CYPCh. 12.7 - Prob. 5CYPCh. 12.7 - Prob. 6CYPCh. 12.7 - Prob. 7CYPCh. 12.7 - Prob. 8CYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5CYUCh. 12.7 - Prob. 6CYUCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23PPSCh. 12.7 - Prob. 24PPSCh. 12.7 - Prob. 25PPSCh. 12.7 - Prob. 26PPSCh. 12.7 - Prob. 27PPSCh. 12.7 - Prob. 28PPSCh. 12.7 - Prob. 29PPSCh. 12.7 - Prob. 30PPSCh. 12.7 - Prob. 31PPSCh. 12.7 - Prob. 32PPSCh. 12.7 - Prob. 33PPSCh. 12.7 - Prob. 34PPSCh. 12.7 - Prob. 35PPSCh. 12.7 - Prob. 36PPSCh. 12.7 - Prob. 37PPSCh. 12.7 - Prob. 38PPSCh. 12.7 - Prob. 39PPSCh. 12.7 - Prob. 40PPSCh. 12.7 - Prob. 41PPSCh. 12.7 - Prob. 42HPCh. 12.7 - Prob. 43HPCh. 12.7 - Prob. 44HPCh. 12.7 - Prob. 46HPCh. 12.7 - Prob. 47HPCh. 12.7 - Prob. 48HPCh. 12.7 - Prob. 49HPCh. 12.7 - Prob. 50HPCh. 12.7 - Prob. 51HPCh. 12.7 - Prob. 52STPCh. 12.7 - Prob. 53STPCh. 12.7 - Prob. 54STPCh. 12.7 - Prob. 55STPCh. 12.7 - Prob. 56STPCh. 12.7 - Prob. 57STPCh. 12.7 - Prob. 58STPCh. 12.7 - Prob. 59STPCh. 12.7 - Prob. 60STPCh. 12.7 - Prob. 61STPCh. 12.7 - Prob. 62STPCh. 12.7 - Prob. 63STPCh. 12.7 - Prob. 64STPCh. 12.7 - Prob. 65STPCh. 12.7 - Prob. 66STPCh. 12.7 - Prob. 67STPCh. 12.7 - Prob. 68STPCh. 12.7 - Prob. 69STPCh. 12.7 - Prob. 70STPCh. 12.7 - Prob. 71STPCh. 12.7 - Prob. 72SCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 14QCCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 43SGRCh. 12 - Prob. 44SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 21PTCh. 12 - Prob. 22PTCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STP

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