meg surveyed some students at her school about their favorite professional sports. of the students surveyed…

meg surveyed some students at her school about their favorite professional sports. of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. what is the experimental probability that the next student meg talks to will pick football? simplify your answer and write it as a fraction or whole number. p(football) =

meg surveyed some students at her school about their favorite professional sports. of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. what is the experimental probability that the next student meg talks to will pick football? simplify your answer and write it as a fraction or whole number. p(football) =

Answer

Explanation:

Step1: Find total number of students surveyed

The number of students who said football is their favorite is 2, and the number of students who had other favorite sports is 8. So the total number of students surveyed is $2 + 8=10$.

Step2: Calculate experimental - probability

The experimental probability $P$ (event) is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the favorable outcome is a student picking football, and the number of favorable outcomes is 2, and the total number of outcomes is 10. So $P(\text{football})=\frac{2}{10}$.

Step3: Simplify the fraction

$\frac{2}{10}=\frac{2\div2}{10\div2}=\frac{1}{5}$

Answer:

$\frac{1}{5}$