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

1 answer

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

The team consists of:

  • 7 boys
  • 4 other girls
  • 1 Felicia

So, the total number of team members is:

\[ 7 \text{ boys} + 4 \text{ girls} + 1 \text{ Felicia} = 12 \text{ members} \]

The probability of Felicia being selected as team captain can be found by dividing the number of favorable outcomes (the event where Felicia is selected) by the total number of possible outcomes (the total team members).

There is only 1 favorable outcome (Felicia being chosen), and there are 12 possible outcomes (any of the 12 team members can be chosen).

Thus, the probability \( P \) that Felicia will be selected as team captain is:

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

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