1) A local high school takes pride in the fact that \( 72 \% \) of its students participate in after school activities. 1) If 2 students are randomly selected, what is the probability that at least 1 of the chose students participates in after school activities? ()) Write your answer as a decimal rounded to the nearest thousandth.

To find the probability that at least one of the two randomly selected students participates in after-school activities, we can first calculate the probability that neither student participates and then subtract that from 1. The probability that a student does not participate is \( 1 - 0.72 = 0.28 \). The probability that both students do not participate is: \[ P(\text{neither participates}) = 0.28 \times 0.28 = 0.0784. \] Now, the probability that at least one student participates is: \[ P(\text{at least one participates}) = 1 - P(\text{neither participates}) = 1 - 0.0784 = 0.9216. \] Rounding to the nearest thousandth, the probability that at least one of the chosen students participates in after-school activities is \( \boxed{0.922} \). Have fun with probabilities! They are like the magic of math, revealing how likely events are to happen. Whether you're predicting sports scores or deciding which movies to watch, understanding probabilities can give you a good edge in making the best choices! Keep exploring, and you'll discover just how fascinating numbers can be!