Step 1:
![\text{Probability = }\frac{N\text{umber of required outcomes}}{N\text{umber of possible outcomes}}](https://img.qammunity.org/2023/formulas/mathematics/college/6arbv1ef4r9bp67ybnakhfb9znhd2fx1h6.png)
Step 2:
To find the number of possible outcomes, you will add the total number of children from age 6 to 9.
Total number of possible outcomes = 5 + 8 + 4 + 7 = 24
Number of required outcomes (7 years old) = 8
Step 3:
![\begin{gathered} \text{The probability that the child selected is 7 years old = }(8)/(24) \\ =\text{ }(1)/(3) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r2x5jveg4i5m1nechdmp2n1felqrvb3qdp.png)
Final answer
The probability that a child selected at random from the children at the party will be 7 years old
= 1/3