Let's say we have 3 events that all have a certain chance of occurring. Each latter event occurring depends on if the prior event occurred based on the chance associated with it. For example, if Event #1 does not happen, Event #2 cannot happen. As such, if Event #2 doesn't happen, Event #3 cannot happen. The overall goal is to prevent ever getting to Event #3, but if you do make it to Event #3, what is the chance that it happens too?
Probability for each event:
Event 1: 0.5% chance of occurrence
Event 2: 2% chance of occurrence
Event 3: 20% chance of occurrence
What is the overall probability (as a percentage) that all of these events will occur?
If someone could even give me somewhere to start, It would be greatly appreciated. Thank you!

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