13 1 standardized test prep experimental and theoretical probability

Become a math whiz with AI Tutoring, Practice Questions & more.

Experimental Probability

By the rules of probability, every time you flip a coin, you have an equal chance of getting a head or a tail. Does this mean that for every 10 times you flip the coin, you will always get 5 heads and 5 tails? Or, by the rules of probability, every time you roll a die, you have a 1 in 6 chance of rolling a 4. Does this mean that when you roll the die 60 times, you will definitely roll a 4 ten times? In both of these scenarios, the answer is no. In theoretical probability, you would expect to get heads half the time and tails half the time, and in theoretical probability, you would expect to get each number of pips one-sixth of the time. But in practice, you would be unlikely to get exactly one-half heads or one-sixth 4s. Let''s say that you rolled the die 60 times and rolled a 4 a total of 8 times. In this case, the fraction 8/60 is called the experimental probability. The definition of the experimental probability of an event is the ratio of the number of favorable outcomes to the total number of trials. With a fair die or a fair coin, you know the theoretical probability ahead of time. The more trials you conduct, the closer your experimental probability is likely to get to the theoretical probability. However, experimental probability is more helpful in situations where you don''t or can''t know the probability of the outcome ahead of time.

Examples of experimental probability

Topics related to the experimental probability.

Developing a Probability Distribution from Empirical Data

Probability Distribution

Probability Models

Flashcards covering the Experimental Probability

Statistics Flashcards

Probability Theory Flashcards

Practice tests covering the Experimental Probability

Probability Theory Practice Tests

Common Core: High School - Statistics and Probability Diagnostic Tests

Get help learning about experimental probability

Tutoring is an excellent way to learn about experimental probability. A tutor can help your student perform actual probability trials to help them learn in a hands-on way how experimental probability works. They can also walk them through the math as many times as needed until your student gains a clear understanding of how experimental probability works. A tutor can answer your student''s questions as soon as they arise so that they learn the information correctly from the beginning. If you''d like to learn more about how tutoring can help your student gain confidence in their understanding of experimental probability, contact Varsity Tutors today and speak with one of our helpful Educational Directors.

• GIAC - Global Information Assurance Certification Test Prep
• REGENTS Courses & Classes
• Soil Science Tutors
• Mississippi Bar Exam Test Prep
• ACT Test Prep
• CLEP College Mathematics Courses & Classes
• LSW - Licensed Social Worker Test Prep
• Missouri Bar Exam Courses & Classes
• CAE - Certified Association Executive Exam Courses & Classes
• MAP Test Prep
• 4th Grade Spanish Tutors
• Graduate Level Chemistry Tutors
• NNAT Test Prep
• Phlebotomy Training
• God Of War Tutors
• CCNP - Cisco Certified Network Professional Courses & Classes
• SHRM-CP - Society for Human Resource Management- Certified Professional Courses & Classes
• AWS Certified Cloud Practitioner Courses & Classes
• Music History Tutors
• Cincinnati Tutoring
• Buffalo Tutoring
• Boston Tutoring
• Oklahoma City Tutoring
• Dallas Fort Worth Tutoring
• Charlotte Tutoring
• Albany Tutoring
• Salt Lake City Tutoring
• Atlanta Tutoring
• Milwaukee Tutoring
• Calculus Tutors in Chicago
• Biology Tutors in San Diego
• Statistics Tutors in San Francisco-Bay Area
• GMAT Tutors in Atlanta
• ACT Tutors in Washington DC
• English Tutors in Miami
• MCAT Tutors in Atlanta
• Statistics Tutors in Dallas Fort Worth
• Reading Tutors in Atlanta
• LSAT Tutors in Denver

Chapter 13, Lesson 6: Theoretical and Experimental Probability

• Extra Examples
• Personal Tutor
• Self-Check Quizzes

The resource you requested requires you to enter a username and password below:

Please read our Terms of Use and Privacy Notice before you explore our Web site. To report a technical problem with this Web site, please contact the site producer .

General Info

Contact Information

Our Mission

Institutional Research

For Visitors

Plan a Visit

Directions to Campuses

Campus Maps

Area Lodging

Homecoming Info

Commencement Info

Tournament Info

For the Media

Emergency Information

Publications

Digital Photo Collection

Identity Standards

Organization

University Administration

Board of Trustees

Employment Opportunities

Mission & Philosophy

Majors, Minors, and Programs

Valley Activities

Visit Campus

Información en Español

International

Non-Degree Seeking

Meet Your Recruiter

Steps to Enrollment

Parent Resources

Financial Aid

How to Pay for College

Estimated Expenses

Forms and Applications

Scholarships

Videos About Financing College

Student Credit Balance Refund Form

Veteran Benefits

Our Programs

Graduate Programs

Academic Guidebooks

Academic Departments

General Studies

Honors Program

Distance Learning

Academic Calendar

Class Schedule  

Exam Schedule

WOW Schedule

Summer Session

Academic Bulletin

Undergraduate Bulletin

Graduate Bulletin

Financial Bulletin

Career and Internship Services

Center for Health Professions

Disability Support Services

Free Tutoring

Mentor Office

Academic Administration

Academic Records

Governance Handbook

Faculty & Staff

Forms for Students

• Forms for Faculty

Dean's List

Transcripts

Transfer Equivalencies

Get Involved

Campus Clubs

Diversity and Inclusion

Intramurals

Faith & Ministries

University Church

Campus Ministries

Center for Humanitarian Engagement

Community Service

Student Missions

How to Find

Student Housing

Student Jobs

Books and Supplies

Computer Lab

Student Life

Health Clinic

Mental Health Resources

Internships

Living Info

Student Handbook

Residence Halls

Village Club

Fitness Facilities

Alumni Association

About the Alumni Association

Alumni of the Year

Board Members

Board Meeting Schedule

Business Meeting

Constitution

Event Reservations

Havstad Guestrooms

School Song

Alumni Services

Alumni Currents eNews

Lodging Options

Request a Free Baby Bib

Request a Transcript

Submit a Class Member Profile

Submit Obituary

Submit Prayer Request

Surprise Your Student

Update Your Contact Info

Westwind Online

Alumni Events

Calendar of Alumni Events

Camp Meeting

Family Weekend

Rosario Alumni Sabbath

Walla Walla Sweets Game

Support WWU

Class Gifts

Give a Gift

Planned Giving

WWU Merchandise

• Academic programs
• Student Learning Outcomes
• Math placement

Department of Mathematics

Where numbers come to life

Mathematics is a language that allows you to abstract and solve the essence of problems in any discipline. Math trains the mind to think rigorously and carefully. It provides tools to untangle and process information in a problem. These are great skills to have in and out of mathematics!  

The Department of Mathematics at WWU is large enough to have faculty with expertise from a broad range of mathematical specialties but small enough for students to foster personal relationships with faculty and their fellow students. We have a long tradition of excellence in mathematics and teaching.  The faculty consciously strive to excel in the classroom, employing a wide range of teaching methodologies and practices. 

This is where you want to get your math degree.

Discover our programs Meet our Faculty

Student Spotlight

Meet Carlos Rodriguez-Munoz. In 2021, Carlos graduated from WWU with a degree in math and is now a people data analyst at New Relic. While reflecting on his college experience, Carlos said he “felt really prepared for this role because of the amazing professors I had at Walla Walla!” Follow along as he takes us through a day in his life!

College Experience

What will your college experience look like as a math major?

Math events: From the annual spring sidewalk chalk theorem contest (pictured above) to Pi Day treats and contests, to departmental gatherings that help you get to know your classmates and your professors, our tight-knit department creates a fun and supportive atmosphere for learning.  

Mathematical Associations: We actively sponsor our students for membership in the Mathematical Association of America. We also encourage engagement with national societies such as the American Mathematical Society, Association for Women in Mathematics, National Association of Mathematicians, and Society for Industrial and Applied Mathematics, providing valuable resources and networking opportunities. 

Annual Scholarship for Proficiency in Financial Mathematics:  This scholarship is designed to recognize and reward students for pursuing and passing professional financial credentialing examinations prior to graduation. Students will receive a $2,000 scholarship for each professional financial credentialing examination they complete prior to their undergraduate graduation from WWU. 

Career Path

What can your career path as a math major look like?

A mind that is trained in mathematics will excel in numerous careers. Mathematics is a critical component of many fields of research including climatology, medicine, national security, robotics, animation, sports data, and more. Some of our math majors prepare for careers in actuarial science where they will assess risk at insurance or investment companies. Many math majors prepare for careers in teaching or complete pre-professional programs for further study in medicine or law. Others apply their analytical skills in related fields such as engineering, business, or computer programming. And some students choose math as a second major while they prepare for careers in music or visual arts. 

The U.S. Bureau of Labor Statistics projects a 28% growth in math occupations from 2020 to 2030. The American Mathematical Society references more helpful career information on their website.

News & Updates

Excellence in thought.

WWU relaunches annual academic excellence symposium

Graduation weekend 2023

Doug Tilstra, vice president of student life, to give commencement address

New master's in engineering

Edward F. Cross School of Engineering launches master's program

Summer math experience

Student participates in paid program for potential graduate students in math

Tutor certification

WWU Student Development Center certified by national tutor training program

• Accommodate
• Announcements
• Class Schedule
• D2L Brightspace
• Housing Application
• IT Help Desk
• Jobs (students)
• Make a Payment
• Sexual Misconduct Policy
• Student Forms
• Student Support Services
• University Bookstore
• A-Z Directory
• Center for Teaching Learning, and Technology
• Jobs (Staff & Faculty)
• Key/Key Card Request
• Maintenance Request
• Marketing/PR resources
• Online Training
• Timecard (Managers)

Alumni & Parents

Event details.

Shown in {{ timezone.name }}

Chapter 13, Lesson 6: Theoretical and Experimental Probability

• Extra Examples
• Personal Tutor
• Self-Check Quizzes

The resource you requested requires you to enter a username and password below:

Please read our Terms of Use and Privacy Notice before you explore our Web site. To report a technical problem with this Web site, please contact the site producer .

Geometry: Common Core (15th Edition)

By charles, randall i., chapter 13 - probability - 13-1 experimental and theoretical probability - practice and problem-solving exercises - page 827: 15, work step by step, update this answer.

You can help us out by revising, improving and updating this answer.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.