Final answer:
The task involves constructing a tree diagram to visualize and calculate the probability of a dessert with sprinkles and kid size at an ice cream shop. Each option—cone type, topping, and size—forms branches with associated probabilities, leading to a multiplication of these probabilities to obtain the final outcome's probability.
Step-by-step explanation:
The question involves drawing a tree diagram and calculating the probability for a specific outcome in the context of an ice cream shop with various options. The branches of the tree diagram will represent the choices available for cones, toppings, and sizes. Each branch is assigned a probability based on the total number of options available at each step.
To calculate the probability of getting a dessert with sprinkles that is kid size, we would first identify all the paths in the tree diagram that meet these criteria. Then, we would multiply the probabilities along that path to get the final probability of that specific outcome. The steps would be as follows:
- Determine the number of options for cones, toppings, and sizes.
- Draw the tree diagram with branches for each option.
- Calculate the individual probabilities for each branch.
- Identify all the paths that lead to a dessert with sprinkles and kid size.
- Multiply the probabilities along the path to find the total probability.
Unfortunately, without knowing the exact number of options at each step or the total number of possible combinations, we can't provide a numeric probability. Typically, each branch's probability would be 1 divided by the number of options at that step. To find the final probability, you would then multiply the probabilities along the path that leads to a kid-size serving with sprinkles.