{"knowledge_schema": {"broad_category": "Physics \u2192 Nuclear Physics \u2192 Radioactive Decay", "refinement": "This problem involves calculating the probability of decay of a single atom over a specified time period, given a known decay probability.", "specific_scope": "The focus is on determining the probability of decay in the next 150 minutes after observing no decay for the first 50 minutes.", "goal": "Calculate the probability of the atom decaying in the next 150 minutes, considering the initial observation period."}, "summary": "This problem is rooted in the principles of radioactive decay, where we need to calculate the probability of an atom decaying over a specified time frame. Given that the decay probability is known, and that no decay has occurred in the first 50 minutes, we can use the properties of exponential decay to find the probability of decay in the subsequent 150 minutes. The goal is to determine this probability based on the initial conditions."}