A survey of 500 randomly selected high school students determined that 182 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability. (a) The probability that a randomly selected high school student plays organized sports is (Round to the nearest thousandth as needed.)

To find the probability that a randomly selected high school student plays organized sports, you can use the formula: \[ P(\text{plays sports}) = \frac{\text{Number of students who play sports}}{\text{Total number of students}} \] In this case: \[ P(\text{plays sports}) = \frac{182}{500} = 0.364 \] Rounding to the nearest thousandth, the probability is **0.364**. This probability indicates that if you were to randomly select one high school student, there is a 36.4% chance that the student participates in organized sports. It paints a picture of the sports engagement level among high schoolers, showing that a little over one-third are active in these activities, which could reflect positively on their physical health and social engagement!