# Theoretical Probability

#### Grade 7 Math Worksheets

**Theoretical probability, also known as classical probability or a priori probability, refers to the mathematical calculation of the likelihood or chance of an event occurring based on theoretical principles and assumptions.**

Table of Contents:

- What is Theoretical Probability
- Examples
- FAQs

**Personalized Online Tutoring**

## Theoretical Probability - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

## What is Theoretical Probability?

Theoretical probability, also known as classical probability or a priori probability, refers to the mathematical calculation of the likelihood or chance of an event occurring based on theoretical principles and assumptions.

It is a measure of probability that is determined by analyzing the underlying structure and properties of an experiment or event.

## Theoretical Probability Formula

**P(event) = Number of favorable outcomes / Total number of possible outcomes**

This formula represents the ratio of the number of favorable outcomes to the total number of possible outcomes. By dividing the number of favorable outcomes by the total number of outcomes, we can determine the probability of the event occurring.

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 7th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $22.49 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

## Example

Suppose we have a bag with 10 red balls and 5 blue balls. To find the theoretical probability of drawing a red ball, we use the formula: P(red) = Number of favorable outcomes / Total number of possible outcomes. In this case, the number of favorable outcomes is 10 (as there are 10 red balls), and the total number of possible outcomes is 15 (since there are a total of 15 balls in the bag). Thus, the theoretical probability of drawing a red ball is 10/15, which simplifies to 2/3 or approximately 0.667. Therefore, the theoretical probability of drawing a red ball is 2/3 or approximately 0.667.

How to find Theoretical Probability

- Define the sample space: Identify all possible outcomes of the experiment or event.

Example: Consider flipping a fair coin. The sample space consists of two possible outcomes: heads (H) or tails (T).

- Determine the favorable outcomes: Identify the outcomes that meet the desired condition or criteria for the event.

Example: Suppose we want to find the probability of getting heads (H). In this case, the favorable outcome is heads.

- Calculate the probability: Divide the number of favorable outcomes by the total number of possible outcomes.

Example: Number of favorable outcomes = 1 (since there is one way to get heads) Total number of possible outcomes = 2 (since there are two possible outcomes, heads or tails)

Therefore, the theoretical probability of getting heads when flipping a fair coin is: P(heads) = Number of favorable outcomes / Total number of possible outcomes = 1/2 = 0.5 or 50%

So, the theoretical probability of getting heads when flipping a fair coin is 0.5 or 50%.

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## Theoretical Probability FAQS

##### What is theoretical probability?

Theoretical probability, also known as classical probability, is the calculation of the likelihood of an event based on theoretical principles and assumptions. It is determined by analyzing the underlying structure and properties of an experiment.

##### How is theoretical probability calculated?

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The formula is: P(event) = Number of favorable outcomes / Total number of possible outcomes.

##### What does the theoretical probability represent?

Theoretical probability represents the idealized probability of an event occurring based on mathematical calculations and assumptions. It provides a model for predicting the likelihood of different outcomes in an ideal scenario.

##### What is the sample space in theoretical probability?

The sample space is the set of all possible outcomes of an experiment or event. It is used to define the scope of the possible outcomes that are considered when calculating theoretical probability.

##### What does a probability of 0 mean in theoretical probability?

A probability of 0 means that the event is impossible and cannot occur in the given scenario. It indicates that there are no favorable outcomes among the possible outcomes.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 7 Science Worksheets

- Elements and Compounds
- Solar Energy
- Photosynthesis
- Electricity and Magnetism
- Law of conservation of energy
- Periodic table
- Properties of Matter
- Waves
- Energy Resources
- Weather and Climate
- Immune, Circulatory and Digestive Systems
- Organs in Multi-cellular Organism
- Sedimentary, Igneous, and Metamorphic Rocks
- Structure of the Earth
- Law of Conservation of Mass
- Physical and Chemical Changes
- Scientific Method
- Human Digestive System
- Environmental Science
- Renewable and Non-renewable energy Resources
- Characteristics of Living Organisms
- Life Science
- Earth and Space Science
- Solar Eclipse
- Heat Technology
- Newton’s Laws of Motions
- Physical Science
- Tools, Measurement and SI Units
- Earth Atmosphere
- Interactions of Living things
- The Earth Ecosystem
- Organelles in Plant and Animal cells
- Layers of the Earth
- Cycles in Nature

## Grade 7 Math Worksheets

- Fractions
- Linear equations word problems
- Statistics
- Properties of Parallel Line
- Finding slope from an equation
- Identifying Quadrilaterals
- Percent Change
- Properties of addition and multiplication
- Pythagorean Theorem
- Solving two step inequalities
- Symmetry
- Fractions to Decimals (New)
- Whole Number Exponents with Integer Bases (New)
- Adding and Subtracting Fractions (New)
- Integer Addition and Subtraction (New)
- Dividing Mixed Numbers (New)
- Basics of Coordinate Geometry (New)

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird