Difference between Unlikely and Incredibly

UNLIKELY vs INCREDIBLY: NOUN

Not easy to believe
In an incredible manner.
In an incredible manner; not to be believed.
To a great extent; extremely.
Used to note the surprising or hard-to-believe nature of what is being said and suggest that it is nevertheless true.
Exceedingly; extremely

Such as cannot be reasonably expected; improbable: as, an unlikely event.
Not holding out a prospect of success or of a desired result; likely to fail; unpromising.
Not calculated to inspire liking or affection; not likable or lovable.
In an unlikely manner; with no or little likelihood; improbably.

Impossible, Reluctant, Plausible, Inconceivable, Doubtful, Likely, Outside, Remote, Last, Unbelievable, Supposed, Unconvincing, Farfetched, Implausible, Improbable

Fantastically, Phenomenally, Terribly, Enormously, Exceptionally, Awfully, Insanely, Exceedingly, Amazingly, Very, Extraordinarily, Extremely, Implausibly, Improbably, Unbelievably

Impossible, Reluctant, Plausible, Inconceivable, Doubtful, Likely, Outside, Remote, Last, Unbelievable, Supposed, Unconvincing, Farfetched, Implausible, Improbable

Quite, Ridiculously, Hugely, Astonishingly, Fantastically, Terribly, Exceptionally, Awfully, Insanely, Exceedingly, Amazingly, Very, Extraordinarily, Extremely, Unbelievably

Obviously, in my case it is EXTREMELY unlikely.
John Mark might not be unlikely at all.
Spain but I think this one is unlikely.
Discountable effects are those extremely unlikely to occur.
NBA comeback may seem unlikely at this point.
Russia investigation even though his election seemed unlikely.
It indicates the null hypothesis is very unlikely.
Just as people who borrow murder mysteries are unlikely to be murderers, so those seeking information about terrorism are unlikely to be terrorists.
When looking for solutions to problems they are unlikely to arbitrarily rule out any possibilities, even if they may seem unlikely to others.
Responses can be: very likely, somewhat likely, neither likely or unlikely, somewhat unlikely and very unlikely.

Incredibly good service and a super solid plugin.
People are incredibly skilled in reading your attitude.
This gas is incredibly poisonous, is almost invisible to the naked eye and is also incredibly flammable.
An incredibly lengthy survey may leave you with not much more than an incredibly high abandonment rate.
It helps that Spotify is incredibly easy to use, sounds good and has some incredibly useful music discovery features.
Losing weight can be incredibly simple and incredibly challenging at the same time.
That is just incredibly, incredibly significant for us to think about.
You can be incredibly insightful and incredibly insufferable at times.
Rewards are incredibly, incredibly important in the credit card industry.
Would you rather be incredibly intelligent or incredibly happy?