Difference between Unlikely and Unwilling

UNLIKELY vs UNWILLING: NOUN

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

Unprepared, Reticent, Inclined, Refusal, Hesitant, Willing, Unwilled, Unvoluntary, Unintentional, Involuntary, Nonvoluntary, Grudging, Loth, Loath, Reluctant

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

Unprepared, Reticent, Inclined, Refusal, Hesitant, Willing, Unwilled, Unvoluntary, Unintentional, Involuntary, Nonvoluntary, Grudging, Loth, Loath, Reluctant

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.

State into an unwilling submission to arbitration enforcement.
Is the group unwilling to accept new ideas?
Unwilling and unable What characteristics demonstrate this condition?
This detestable character, all were unwilling to assume.
Other study tools unwilling Boy Soldier by Ishmael Beah, an unwilling Boy Soldier by Beah!
Too often, however, the city attorney, although unwilling or unable to do the job himself, is also unwilling to permit others to do it.
And, the court could find no principle to distinguish an unwilling plaintiff from an unwilling defendant based upon the breadth of Supreme Court cases.
Fidelity has been unwilling to assist and unwilling to explain what happened.
Courts are generally unwilling to force a closing on an unwilling buyer.
Parents are unwilling to get up, unwilling to drive them, unwilling to require effort from their children.