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

"Three in a row, ever" means: "I need to find one, then I need to find 2 more"
"Three in a row, including this one" means: "I found one; now, I need to find 2 more"
You do get how impossible it is to find "3 in a row" without ever finding the 1st one, right?
I'm simply saying that to "find 3 in a row" is not grammatically, or mathematically, the same as "finding 2 more after you've found 1". (to which you prattle on about how many times we've for 2 in a row [which has nothing to do with 3 in a row])