How does the concept of 'coincidence' in the Satcharita relate to scientific principles of probability? Was Baba just orchestrating events?

The Shri Sai Satcharita presents events not as random occurrences but as manifestations of Baba's divine will. Chapter 51 details a series of events that are described as 'strange coincidences.' For example, a portrait of Baba appears for Kakasaheb Dixit precisely when he longed for darshan. Later, when Dixit and Madhavrao find their train compartment full, a guard who is an acquaintance of Dixit's suddenly appears to help them. The text from Chapter 51 frames these events not in terms of scientific probability, but as a demonstration that the 'capable Sai acted to fulfill' the desires of his devotees, suggesting that what may seem like coincidence is actually Baba's leela, or divine play.