Well, my reasoning is thus:
1. What we know of life here on Earth seems to indicate that it's probably very, very likely to appear once the conditions are right.
2. Our star is not a terribly exceptional one.
3. Planets are very common, and thus we expect reasonably Earth-like planets to not be that rare either.
4. Earth-like planets may even appear around binary star systems, significantly expanding the range..
Considering the age of the universe, if high technological life was common, I'd say we'd have to have been visited by it fairly often by now. However ...
1. I thought the contrary is true. There's a lot of unique conditions going on here in the "vicinity" of our planet that allow life, and only just.
2. Yes, again, it sort of is.
3 (+4). Define rare.
You have to add, no, actually multiply all those odds too. It has to be a planet that allows life to form, it has to be a planet that allows life to develop, it has to be a planet that allows and stimulates life to form intelligently, it has to be a planet that is around long enough for this to happen, it has to be a planet that isn't bombarded with meteor strikes too often or too little to allow or force life to evolve further whenever some form of stability is reached (consider the dinosaurs, fairly intelligent but not likely to board a space-ship any time soon). Then once something develops that actually wants to leave the planet and search around for other planets for any other reason than needing it to survive (in which case it may well just kill us on sight, or by accident), it still needs to be close enough and develop space travel at a high speed. Even if light-speeds were physically attainable by intelligent life-forms it takes ages to get anywhere in this universe at all, and then
find our tiny little dot in that gigantic vastness of space.
Even just calculating the amount of space travel in this universe needed even at light-speeds to find anything like our planet using any kind of clever tracking solution all by itself shows that the chance of us being discovered by alien life-forms is almost depressingly small. Never mind multiplying this with all the other odds stacked up against alien life even reaching the point where it starts looking.
The chance that we start looking ourselves and then split up in different directions and rediscover old branches at a later time that have evolved into different directions enough to look alien is already a lot more likely imho, because they'd start from the same location. Compare that with how the Earth was populated with human beings.