What happens once mining speed gets close to zero? According to Wikipedia


  The number of Bitcoins created per block is never more than 50 BTC, and the awards are programmed to decrease over time towards zero, such that no more than 21 million will ever exist.


from which I naively conclude that as time passes less and less bitcoins will be mined and the total amount of bitcoins is limited, so after say ten (or whatever actual number - doesn't matter) years mining a bitcoin will be as unlikely as winning big in a lottery and maybe even news will report that one more bitcoin has been mined.

Are those right conclusions? What exactly happens once mining speed gets close to zero?
I think you are confusing two things here: 


Block generation rate
New bitcoins introduced per block


Blocks will always be found at a rate of approximately one per 10 minute. The difficulty of finding a block adjusts itself according to how many people are trying. Simply said, if N people are mining (all with equal hashing power), they will each (on average) find one block per N*10 minutes.

On the other hand, the newly introduced currency in each block is currently 50 BTC/blocks, but somewhere end 2012 this will decrease to 25 BTC. 4 years later, it will become 12.5, and so on. Around 130 years from now, the last block with non-zero new coins will be created. After that, mining will still continue, but blocks will only have transaction fees as rewards, and no new currency anymore.