My result: 70% to never mine a single block ever.
If you take "ever" as in "in eternity", you have a probability of 100% to mine a block, hell, you're even 100% likely to mine 1000 blocks with only 1 hash per second!
Please specify a REAL timeframe like "within the next 5 years", not infinity!
Not true as there's a finite number of bitcoins.