Answer and Explanation:
1. The left column should be labeled coin toss because we can see that there are two outcomes from a coin toss: heads or tails.
We know that the right column should be labeled spinner because it has three outcomes (red, yellow, or blue) for every previous outcome.
2. We can label the top box of the left column as H (for Heads) and the lower box as T (for Tails). Then, we can label the top, middle, and bottom boxes in the right column as R, Y, and B, respectively (for Red, Yellow, Blue).
3. Next to each box on the right, label the two events that lead to that outcome. For example, "HR" means that you tossed a heads, then spun a red.
4. There is only 1 outcome in the event "toss a tails, spin a yellow" because there is only one way (out of two ways) to toss a tails, and from there, there is only one way to spin a yellow (out of three ways).
5. The probability of tossing tails, then spinning a yellow is:
[tex]\dfrac{1}{2} \cdot \dfrac{1}{3} = \boxed{\dfrac{1}{6}}[/tex]
