It will probably rain tomorrow.
I think he has probably already arrived home.
noun which may take the genitive case particle 'no', na-adjective
a large amount of; considerable; generous
Formal and relatively uncommon adjectival use meaning a considerable or generous amount. In modern Japanese, 多くの, 多額の, 多大な, or たくさんの is usually more ordinary depending on context; 多分に also appears for 'to a considerable degree.'
We sincerely thank you for your generous support.
This plan contains a considerable degree of optimistic assumptions.
It will probably be sunny tomorrow.
I think he probably won't come.
たぶん is a plain, freely usable word for 'probably', while ひょっと only expresses a weaker, more tentative possibility and almost always needs すると/したら/して attached.
たぶん is a plain, everyday word for 'probably' used for any guess, while さぞ is a more literary word reserved for sympathetic conjecture about someone's feelings.
たぶん is the everyday, casual word for 'probably', while まず in this sense adds a stronger nuance of near certainty.
たぶん is the plain, everyday word for 'probably', while 大概 used this way is a bit more literary or formal.