Question

the following table lists the ages and number of players per age group that are on a soccer team. Let A= soccer players who are younger than 9 years oldhow many players are in the complement of A?

Answer 1

Event "A" is defined as "soccer players who are younger than 9 years old"

Looking at the table, there are two categories that fit the definition of the event, those are the categories for players with ages 7 and 8.

The complement of A will represent all other players, this means, the soccer players who are 9 years old or older. The categories that fit this description are those for players with ages 9 and 10.

To determine the number of players that correspond to the complement of A, you have to add the number of players that are 9 years old and the number of players that are 10 years old:

`\begin{gathered} A^c=nº_{\text{ }}9\text{years-old}+nº_{\text{ }}10\text{years}-\text{old} \\ A^c=6+4 \\ A^c=10 \end{gathered}`

There are 10 players in the complement of A.