{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Radioactive Decay", "refinement": "This problem deals with the probabilistic nature of radioactive decay, specifically focusing on the decay of a single atom over time.", "specific_scope": "The context involves calculating the probability of decay for an atom that has not decayed after a certain time period, using the known decay probability.", "goal": "Determine the probability that the atom will decay within a specified future time frame, given its past behavior."}, "summary": "This problem involves understanding the principles of radioactive decay and calculating the probability of an atom decaying over a future time period, given that it has not decayed in the past. The decay probability is a key factor in determining the likelihood of future decay events. The task is to apply the concept of survival probability to find the chance of decay in the next 150 minutes after observing no decay for the first 50 minutes."}