Probability tree diagrams are a great tool to help us visualize and understand different types of probabilities.

Theoretical Probability

1. What It Is: This is what we expect to happen based on math.

2. Example: Think about flipping a coin. A tree diagram can show us:

   • Heads (H)
   • Tails (T)

   Each side has a chance of $0.5$, or 50%.

Experimental Probability

1. What It Is: This is based on real-life experiments or tests.

2. Example: If you flip a coin 100 times and get 60 heads, the experimental probability for heads is $\frac{60}{100} = 0.6$, or 60%.

In simple terms, tree diagrams help us predict what might happen and see how that matches up with real outcomes!