Respuesta :
The probability that a child selected from amongst the children is 11 years old is given as follows:
[tex]\text{Probability that the child is 11years old =}\frac{n\text{umber of children aged 11}}{\text{Total number of children}}[/tex]Since the number of children that are 11 years old = 44
and the total number of children = 140
Therefore:
[tex]\begin{gathered} \text{Probability that the child is 11years old =}\frac{n\text{umber of children aged 11}}{\text{Total number of children}} \\ \\ \Rightarrow\text{Probability that the child is 11years old =}\frac{44}{140}=\frac{22}{70\text{ }}=\frac{11}{35} \\ \Rightarrow\text{Probability that the child is 11years old =}\frac{\text{11}}{35} \end{gathered}[/tex]Therefore, in its simplest form, the probability that the child selected is 11 years old is 11/35
