To determine the probability of selecting a band member who plays the saxophone from a band with 35 members, of which 9 are saxophone players, follow these steps:
1. Identify the total number of band members. In this case, the total number of band members is 35.
2. Identify the number of saxophone players within the band. Here, there are 9 saxophone players.
3. The probability of selecting a saxophone player randomly can be calculated by dividing the number of saxophone players by the total number of band members.
4. Therefore, the probability [tex]\( P \)[/tex] is given by:
[tex]\[
P(\text{saxophone player}) = \frac{\text{number of saxophone players}}{\text{total number of band members}} = \frac{9}{35}
\][/tex]
5. Convert this fraction to a decimal to find the numerical probability, though for this question, we are asked to select the fraction form.
Thus, the correct answer is:
C. [tex]\(\frac{9}{35}\)[/tex]
