Exploring Tree Diagrams for Probability Outcomes

In this video, Anthony from Mashup Math explains how to use tree diagrams to determine possible outcomes. He starts with a simple example of flipping a coin twice, showing how to construct a tree diagram to find all possible outcomes. Then, he extends the concept to a more complex scenario involving outfit combinations, demonstrating how to calculate the total number of combinations using a tree diagram. Anthony also introduces a shortcut method for finding combinations by multiplying the number of choices. The video concludes with a promotion of Mashup Math's Instagram page.

What is the purpose of using a tree diagram in this lesson?

• To calculate the area of a triangle

• To determine the number of different outfits

• To solve algebraic equations

• To measure the length of a line

How many possible outcomes are there when flipping a coin once?

• Three

• Two

• One

• Four

If the first flip of a coin is heads, what are the possible outcomes for the second flip?

• Neither Heads nor Tails

• Heads or Tails

• Heads only

• Tails only

How many total possible outcomes are there when flipping a coin twice?

• Five

• Two

• Three

• Four

How many tops does Josh have in his wardrobe?

• Three

• Four

• Two

• One

What are the options for jeans in Josh's wardrobe?

• Blue jeans and white jeans

• Blue jeans and black jeans

• Red jeans and black jeans

• Black jeans and white jeans

How many pairs of sneakers does Josh have?

• Four

• Three

• Two

• One

What is the total number of different outfit combinations Josh can make?

• 21

• 15

• 12

• 18

What is the shortcut method for finding the total number of combinations?

• Dividing the number of choices

• Multiplying the number of choices

• Adding the number of choices

• Subtracting the number of choices

What is the total number of combinations when multiplying 3 tops, 2 jeans, and 3 sneakers?

• 12

• 18

• 21

• 15