yep and more hash = lower odds.
if you have 1% of the worlds hash your odds are 1/100 x 1/100 or 10,000 to one of ever pulling 3 in a row
if you have 1% of the worlds hash your odds are 1/100 x 1/100 x 1/100 or 1,000,000 of pulling the next 3 in a row
That needs an edit

Nope. It's correct.
When you find a block, you've ... found a block already.
In the first case, there's no requirements on finding the first block ... it's just some time in the future.