it doesn't require explanation because it's not parapsychological. it could actually have been gas. of course the premonition isn't described here. did the writer see a vision of a sinking ferry, or just get a funny feeling in the pit of his tummy, or something else? had anyone bad ever happened to him before (or has it since) without warning of any parapsychological kind? this individual incident, lacking certain information (but even if it contained it) proves nothing and requires no explanation. stuff happens.

g

because they had eyes maybe we see more than we acknowledge and health n safety isnt that great in india plus we are great story tellers

What others said here, but also confirmation bias. How many time did this individual, or anyone for that matter, have a bad feeling and then nothing bad happened. Do you remember that time you thought something bad was going to happen but it didn't? Of course not. We generally only remember the hits and forget all the misses.

We can’t really explain many things, but this sort of story circulates a lot. Sometimes people say they had a premonition or a feeling that something bad was going to happen....maybe in retrospect it gets made more of than it was just a feeling. I don’t believe there was any divine intervention if that is the line of thought that this is heading towards. In this case it is apocryphal as we don’t know what gave him the inkling...perhaps the river was higher than usual and fast flowing. Perhaps he observed that the boat looked badly maintained. Too many unknowns to draw any real conclusions.

For some reason, the situation didn't sit right with him --- intuition ---his brain was picking up something that made him uncomfortable. His reasoning powers were working subconsciously...and something made him feel that his daughter would not be safe being left on the bus.

We will never know what his brain was seeing that he wasn't consciously aware of....but his brain "did the math" and it wasn't safe. In this case, his brain was right.

in·tu·i·tion
noun

the ability to understand something immediately, without the need for conscious reasoning.
"we shall allow our intuition to guide us"

synonyms: instinct, intuitiveness;
a thing that one knows or considers likely from instinctive feeling rather than conscious reasoning.
plural noun: intuitions
"your insights and intuitions as a native speaker are positively sought"
synonyms: hunch, feeling (in one's bones), inkling, (sneaking) suspicion, idea, sense, notion;