Using tree diagrams to look at the outcomes of rolling dice is a fun and simple way to see all the possibilities. Here’s how it works:

1. Start with the Basics:
   When you roll one die, you can get 6 different results: 1, 2, 3, 4, 5, or 6.
   But when you roll two dice, things get more interesting because each die rolls on its own.

2. Make the Tree Diagram:

   • Start with the first roll. Draw a branch for each outcome (that’s 6 branches total).
   • For each result from the first die, draw another set of 6 branches for the second die.
   • For example, if you roll a 1 on the first die, you get (1,1), (1,2), (1,3), up to (1,6).
   • Do this for all the outcomes of the first die.

3. Count the Outcomes:

   • If you follow the tree, you will see that there are a total of 6 times 6, which equals 36 different outcomes when rolling two dice!
   • This makes it really easy to figure out probabilities. For example, if you want to know the chance of rolling a total of 7, you just count how many paths lead to that result.

Overall, tree diagrams help you understand how different events mix together and make it much easier to calculate probabilities!