{"knowledge_schema": {"broad_category": "Physics \u2192 Nuclear Physics \u2192 Radioactive Decay", "refinement": "This problem deals with the probability of decay of a single atom over a specified time period, given a known decay probability.", "specific_scope": "The focus is on calculating the probability of decay in a future time interval (150 minutes) after observing no decay in a previous time interval (50 minutes).", "goal": "Determine the probability that the atom will decay in the next 150 minutes, given that it has not decayed in the first 50 minutes."}, "summary": "This problem involves the principles of radioactive decay, specifically the calculation of decay probabilities over time. Given a known decay probability, we need to find the likelihood of an atom decaying in a future time frame after it has survived a previous time period without decaying. The task requires understanding the memoryless property of exponential decay, which states that the probability of decay in the next interval is independent of the past. The goal is to compute the probability of decay in the next 150 minutes, leading to the answer of 44."}