Questions: Aisha surveyed 26 students at her school about their favorite professional sports. Of the students surveyed, 8 said soccer was their favorite sport. What is the experimental probability that the next student Aisha talks to will pick soccer? Write your answer as a fraction or whole number.

Solution Steps

To find the experimental probability that the next student Aisha talks to will pick soccer, we need to divide the number of students who said soccer was their favorite sport by the total number of students surveyed. This will give us the probability as a fraction.

Aisha surveyed a total of \( 26 \) students. Out of these, \( 8 \) students indicated that soccer was their favorite sport.

The experimental probability \( P(\text{soccer}) \) is calculated using the formula:

\[ P(\text{soccer}) = \frac{\text{Number of students who like soccer}}{\text{Total number of students surveyed}} = \frac{8}{26} \]

To simplify \( \frac{8}{26} \), we find the greatest common divisor (GCD) of \( 8 \) and \( 26 \), which is \( 2 \):

\[ P(\text{soccer}) = \frac{8 \div 2}{26 \div 2} = \frac{4}{13} \]

Final Answer