To find the experimental probability of selling a vanilla cupcake, you can use the formula for probability:
\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \]
In this case:
- The number of favorable outcomes (vanilla cupcakes sold) is 3.
- The total number of outcomes (total cupcakes sold) is \(3 \text{ (vanilla)} + 3 \text{ (other)} = 6\).
Now, substitute the values into the formula:
\[ P(\text{vanilla cupcake}) = \frac{3}{6} = \frac{1}{2} \]
Thus, the experimental probability that the next cupcake sold will be a vanilla cupcake is:
\[ P(\text{vanilla cupcake}) = \frac{1}{2} \]