I'm not sure about intimidate, since it takes your level in account as well. But persuasion always succeeds at 100 speech, or 70 speech if you take the perk.
Really? Persuade and Intimidate almost never work for me if Im not wearing +speechcraft gear.
Bribes are usually pretty cheap and eventually you start to learn which persuasions are harder than other so you can plan your timing in advance. For example the gate guard in Riften is a very easy persuasion while the Silver-Blood thugs at Kahlwastren (?) are hard to convince.