Can't possibly?

[Regina]

Test No. incompl/elem-21 "Remove the Spoon", question 7

I can't ......... give up drinking tea, doctor.

(a) probably
(b) possibly
(c) likely
(d) impossibly

Test No. incompl/elem-21 "Remove the Spoon", answer 7

I can't possibly give up drinking tea, doctor.

Correct answer: (b) possibly

Your answer was: incorrect
I can't probably give up drinking tea, doctor.
_________________________

Whu here probably?

[Torsten]

It means that it is impossible for the speaker to give up drinking tea.
_________________
Test Of English for International Communication
TOEIC Preparation & TOEIC Vocabulary

[Polska]

could you set forth the diffference between them?

[Mister Micawber]

Possibly here is a minimizer, not a disjunct, and can take the position after the modal:

I can't possibly give up drinking tea.

Probably as a disjunct cannot hold that position:

I probably can't give up drinking tea.
Probably, I can't give up drinking tea.
I can't give up drinking tea, probably.

Can't possibly does not mean it is impossible; it just minimizes the effect of the main verb.
_________________
Native English teacher at Mister Micawber's

[Feridestg]

Great thanks for explanation. The grammar of disjunct is new for me. Where can I read about disjuncts and see more examples for dicjunct words?
thanks in advance

[Mister Micawber]

.
Oh dear, my last post was two years ago. Well, you could start HERE, and you could google 'disjuncts' for more information.
.
_________________
Native English teacher at Mister Micawber's

[Bui Manh Truong]

oh great! thanks a lot for your direction! it's very helpful for me!