Tree Diagrams and Compound Probability

The video tutorial covers tree diagrams and compound probability through a math test question. Students roll a number cube and spin a spinner, with the goal of determining the probability of rolling an even number and landing on blue. The tutorial explains the setup, uses a tree diagram to illustrate outcomes, and calculates the probability as 3 out of 18. The video concludes with a summary of the concepts.

What is the purpose of using a tree diagram in probability?

• To eliminate unlikely outcomes

• To calculate the average of outcomes

• To visualize all possible outcomes of an event

• To predict future events

How many sides does the number cube have in the game described?

• 10

• 6

• 4

• 8

What does the letter 'R' represent in the tree diagram?

• Landing on the blue section

• Rolling an even number

• Landing on the red section

• Rolling a 6

How many total outcomes are possible when rolling the number cube and spinning the spinner?

• 21

• 18

• 15

• 12

What is the probability of rolling an even number and landing on blue?

• 1 out of 6

• 2 out of 18

• 4 out of 18

• 3 out of 18