Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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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 12.7, Problem 4CYU

a.

To determine

To calculate the number of five-digits numbers possible.

a.

Expert Solution
Check Mark

Answer to Problem 4CYU

The total number of possible outcomes are 720 .

Explanation of Solution

Given information:

Lottery numbers are five-digit numbers. Each digit can be 1,2,3,4,5 or 6 . Once a week, a winning number is chosen randomly.

Calculation:

The total number of possible outcomes is calculated by calculating the factorial of 6 :

  6!=6×5×4×3×2×1=720

Hence, the total number of possible outcomes are 720 .

b.

To determine

To perform a simulation for winning the lottery.

b.

Expert Solution
Check Mark

Answer to Problem 4CYU

In a bag containing 720 marbles, one marble is randomly picked.

This represents the probability for winning the lottery.

Explanation of Solution

Given information:

Lottery numbers are five-digit numbers. Each digit can be 1,2,3,4,5 or 6 . Once a week, a winning number is chosen randomly.

The total number of possible outcomes are 720 .

In a bag containing 720 marbles, one marble is randomly picked.

This represents the probability for winning the lottery.

c.

To determine

To find the experimental probability of winning.

c.

Expert Solution
Check Mark

Answer to Problem 4CYU

The experimental probability of winning the lottery is 1720 .

Explanation of Solution

Given information:

Lottery numbers are five-digit numbers. Each digit can be 1,2,3,4,5 or 6 . Once a week, a winning number is chosen randomly.

The total number of possible outcomes are 720 .

The experimental probability of winning the lottery is 1720 .

d.

To determine

To compare the experimental probability and the theoretical probability of winning.

d.

Expert Solution
Check Mark

Answer to Problem 4CYU

The experimental probability and the theoretical probability of winning is the same.

Explanation of Solution

Given information:

Lottery numbers are five-digit numbers. Each digit can be 1,2,3,4,5 or 6 . Once a week, a winning number is chosen randomly.

The experimental probability and the theoretical probability of winning is the same.

Previous
Chapter 12.7, Problem 3CYU
Next
Chapter 12.7, Problem 5PPS

Chapter 12 Solutions

Algebra 1

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

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