Tree diagrams are a really helpful tool in Year 9 math, especially for understanding probability problems. They take complicated ideas and break them down into simpler parts, making it easier to find out chances or probabilities.

Why Tree Diagrams are Great:

• Easy to See: They show all the possible outcomes clearly.
• Neat and Tidy: They help you keep track of results and their probabilities in an organized way.

Example:

Let’s look at two independent events, A and B:

• The chance of A happening is: P(A) = 0.6
• The chance of B happening is: P(B) = 0.5

To find the total chance of both things happening, we can use the tree diagram:

P(A and B) = P(A) × P(B)
So, it will be 0.6 × 0.5 = 0.3.

Using tree diagrams makes it easier to handle complex situations and helps make sure our calculations are correct.