Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The team has decided to randomly select its team captain. What is the probability that Felicia will be selected as team captain?

Responses
1/12

1/11

1/5

1/4

1 answer

To find the probability that Felicia will be selected as team captain, we first need to determine the total number of team members.

Felicia + 7 boys + 4 other girls = 1 + 7 + 4 = 12 team members in total.

The probability that Felicia is selected as team captain is given by the ratio of the number of favorable outcomes (which is 1, since there is only one Felicia) to the total number of outcomes (which is the total number of team members).

So, the probability \( P \) that Felicia will be selected is:

\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{12} \]

Thus, the probability that Felicia will be selected as team captain is \( \frac{1}{12} \).