Probability trees are helpful tools for understanding events that involve more than one outcome. This is especially useful for Year 1 students in the Gymnasium Mathematics curriculum. They show a clear picture of all the possible results of an event, making it easier to analyze and understand.

Key Benefits of Probability Trees:

1. Seeing Outcomes Clearly:

   • Probability trees show all the possible results in a simple and organized way. This helps students understand complicated events better.

2. Finding Probabilities:

   • Each branch of the tree represents a chance of something happening. You can multiply the probabilities along a path to find the total chance of a certain outcome.
   • For example, if event A happens with a chance of 1 out of 3 (or $\frac{1}{3}$) and event B happens with a chance of 2 out of 5 (or $\frac{2}{5}$), the overall chance of both events happening one after the other is: $P(A \text{ and } B) = P(A) \times P(B) = \frac{1}{3} \times \frac{2}{5} = \frac{2}{15}$

3. Learning About Conditional Probability:

   • Probability trees can also show conditional probabilities in a clear way. This helps students see how the chance of an event can change based on what happened before.

By using probability trees, Year 1 students can build a strong understanding of compound events. This will help them improve their math skills and reasoning.