"almost probably" is correct and can be used in written English.
It is typically used to express uncertainty or a high likelihood of something happening. Example: "I am almost probably going to be late for the meeting, as I got stuck in unexpected traffic."
CNVs can occur almost anywhere and most probably have little impact on health.
Steve and Nigel speak and text almost daily, probably to that degree," Banks said.
Medical staff believe he might have come through his ordeal almost unscathed, probably with pneumonia but with no sign of frostbite.
No longer are exposures to dangerous chemicals occupational alone; such chemicals have entered the environment of almost everyone — probably even of children still unborn.
She was beaten with a blunt object, stabbed repeatedly — one ear was almost severed — probably sexually assaulted; her body was stuffed into a bedroom closet, where it was discovered on Monday afternoon, Jan . 18
Early on, perhaps, those shows lured guests they intended to mock simply because the guests didn't get it; now, though, almost all probably know what they're in for when they sign up, yet they go on anyway.
The Bush administration, in its first six years, spent almost $100 million–probably many more on a deeply classified program to help then-President Musharraf secure Pakistan's nuclear weapons.
"So almost psychologically probably some of the Welsh players had a little bit more to play for and a bit more desperation.
Drop me a line at john at crunchgear dot com to discuss some lucrative yet almost completely probably unpaid opportunities at your favorite website.
Budget deficit causes a rise in interest rates, but the role of the exchange rate is found to be almost insignificant, probably due to including exchange rate series that cover both the pegged and market-based regimes of exchange rates.
