Now, it might be one thing to believe that one or two such events had ever occurred in the history of the world, "
The evolutionists cannot even prove that one such event has ever occurred, let alone the millions of times which totally new organisms have been created.
The point is, that a non-idiot could potentially belive that one or two such events in the whole history of the world might have occurred but that, normally, i.e. when there is no quasi-religious reason for it, when a person starts to believe that an essentially endless series of such events has happened, you're looking at a much bigger problem.
In that case, the person is basically saying "Hey, you know, modern mathematics and probability theory and all that stuff is a bunch of BS, and I don't buy it.