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Master Probability of Independent Events: Key Concepts & Tips

BC Grade 8 Math: Master Core Concepts & Skills

Square roots and cubic roots

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Square and square roots

Square Root of a Perfect Square

Estimating square roots

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Cubic and cubic roots

Cubic and cube roots

Cube root of a perfect cube

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Percents

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed fractions

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Application of fraction operations

Fraction Operations

Cartesian Planes & Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Application of linear relationships

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Linear Equations

Model and solve one-step linear equations ax =b , x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax+b=c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division x/a+b=c

Two-step Linear Equations RHS

Solving two-step linear equations using distributive property: a(x+b)=c

Solve Linear Equations Using Distributive Property – Word Problem

Surface Area

Introduction to surface area of 3-dimensional shapes

nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Volume

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Central Tendency

Median and Mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability of Venn diagrams

BC Grade 8 Math

sample

math

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Intro

Ex. 1:

Ex. 2:

Ex. 3:

- Hi and welcome to this question right here. So this is a very fun exercise, okay? So you got a spinner divided into the four equal parts and you're going to spin it. And each section is labeled one, two, three and four. You got another marble drawn from the bag over here that has five different marbles, color of the green, the red, the blue, the black, and the white. So your task is to figure the probability that you want to land on section two and getting a green marble, okay? If you're trying to figure out the probability of the two events, that's one event right here. That's a second event. So you're doing something twice. So all you got to do is just multiply the probability together, okay? 
So let's take a look at how to get a section two right here. Well the spinner right here it's divided into four equal parts, right? So what happened is you want to get a two. There's only one of them, right? That's one of the four possibilities to get a two right there. It's actually the same possibility for all the numbers, actually. Now you're going to multiply, okay? Because, again, remember this. This is two different events. They are called independent because what that means is the outcome from the first event does not affect the second event, okay? So basically, me drawing the green from here is not affected by the spinning right here. It doesn't affect me at all, okay? So when you have two different independent events you're going to multiply them together. Multiply the probabilities together. The second one right here wants you to get the green marble. Well how many greens do you have? You got one. So that's the one that you're looking for. How many possibilities do you have in this bag? 
You have five marbles, right? 
So that's your total sample base. You put it right at the bottom, okay? 
At the very end, guess what happened? 
Multiply. One times one gives you just one and divided by the four times five gives you 20. So the chance for you to spin the two and then grab a green from the bag without looking at it is just 1 of the 20 of the chance. Not a good odd but still better than 649. Thanks for watching.

Probability is everywhere in our daily life. Do you know your chances of winning a specific prize in a spinning wheel prize draw? How about the odd to get the same prize two times in a row? By applying the concept of probability of independent events, we can easily answer these questions.

Probability of independent events 

Probability of independent events (advanced)

Probability of independent and combined events

Probability of Independent Events Examples