Analyzing series of events

noob in data science here.

I would like some advice on the following: I have a series of events that can happen at random times of a day, there is the event start/end time. If an event started already the same kind of event can’t start until it finishes but other types of events can happen at the same time simultaneously. It’s like events for a few different people in the same calendar. There is also some probability X for event A to happen when event B occurs

My question is what kind of information can I extract from these series and can you give me any advice where to start learning something related to these kinds of analysis using machine learning as I can clearly see that ML model can be trained to predict such kind of events having analyzed previous events as they are somehow related.

Really appreciate any advice