(Originais Teachy 2023) - Question Hard of Mathematics

Eighth-grade class is conducting a science project involving understanding probability. In one of the experiments, they toss three fair coins and record the results. Each coin can land on 'heads' (H) or 'tails' (T). The students must calculate the probability of at least one coin showing tails. To complete this task, they must understand the concept of complementary events: the probability of an event A occurring is 1 minus the probability of A not occurring. Additionally, they know that in a coin-tossing experiment, the sum of all possible probabilities must be 1. Based on this scenario, describe how the students can calculate the probability of at least one coin showing tails and explain the concept of complementary events applied to this calculation.