littlebabyjesus
one of Maxwell's demons
Think we need to be really specific about what it is that we think is the long shot here. Is it life with minds, which create representations of themselves in the world that we call conscious awareness? Or is it life that has developed ways of thinking that allow it to, for instance, ask the kinds of questions we are asking here?I'm not saying that time is the (only) limiting factor. I'm saying (well, actually totally speculating) that it's a really long shot even over a typical 5 billion year life span of a planet of a planet that can support life.
Once evolution has produced multi-cellular life and that multi-cellular life has started developing nervous systems, certain kinds of thing seem to be selected again and again - the 'good tricks' of evolution. Eyes, for instance, but also smartness - such as the entirely separate evolution of tool-making mammals and birds. I would suggest that, once a certain threshold of complexity has been reached, it is highly likely, given enough time, that things such as a problem-solving intelligence would appear.