Tricia wants to determine the probability of getting two 1’s when two

number cubes are rolled. She makes a tree diagram and uses it to list
the possible outcomes

cool. what did she get?

To determine the probability of getting two 1's when rolling two number cubes, let's create a tree diagram to list the possible outcomes.

Start with the first roll of the number cube:

- On the first roll, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Now, for each outcome of the first roll, consider the second roll:

- If the first roll is a 1, there is 1 possible outcome for the second roll: 1.
- If the first roll is any number other than 1, there are 6 possible outcomes for the second roll: 1, 2, 3, 4, 5, and 6.

So, the possible outcomes are:

- (1, 1) - Getting a 1 on both rolls
- (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) - Getting a 1 on the first roll and any number on the second roll

Now, let's calculate the probability of getting two 1's:

- There is only 1 outcome where we get two 1's, out of a total of 12 possible outcomes. Therefore, the probability of getting two 1's is 1/12.

To determine the probability of getting two 1's when two number cubes are rolled, Tricia can make a tree diagram to list all the possible outcomes:

1. Draw the first branch of the tree diagram and label it with the numbers that can be rolled on the first cube: 1, 2, 3, 4, 5, 6.
2. From each branch of the first cube, draw six more branches for the second cube, labeled with the numbers that can be rolled on the second cube: 1, 2, 3, 4, 5, 6.
3. In the end, Tricia will have a complete tree diagram with 36 branches, representing all the possible combinations of outcomes when two number cubes are rolled.

Now, Tricia can look at the branches where both cubes show a 1. These branches will be at the intersection of the 1 branch on the first cube and the 1 branch on the second cube.

Count the number of branches where both cubes show a 1. Let's say there are 2 branches that fulfill this condition.

Finally, Tricia can calculate the probability by dividing the number of favorable outcomes (branches with two 1's) by the total number of possible outcomes (total number of branches on the tree diagram).

So, the probability of getting two 1's is 2 (number of branches with two 1's) divided by 36 (total number of branches on the tree diagram), which is equal to 1/18.