English Modal Verbs

Deduction

Must = 100% sure +
Can't = 100% sure -

He's been smoking for 30 years, he must have lungs problems
He's been smoking for 30 years, he can't have healthy lungs

Should = 70-80% sure

May, might, could = 30-50% sure

Prohibition

Should not --> Shouldn't
when we recommend against doing sth

You shouldn't go out too late without a company, it might be dangerous

Must not --> Mustn't
when we recommend against doing sth, but stricter than shouldn't

You mustn't drive drunk, let me give you a lift home

Can't --> Cannot
reflects obligation that comes from outside, beyond our control (rule/law/circumstances) = smth is prohibited

People cannot drive drunk, it's against the law
You cannot drive here, it's a private sector

Obligation
Necessity

Should
Recommendation, less strict than must
You should improve your indications not to be fired

(+) S + should + V
(-) S + should + not + V
(?) Q.w. + should + V ?

Must
reflects obligation that comes from a speaker / writer
You must work hard to have a promotion

(+) S + must + V
(-) S + must + not + V
(?) Q.w. + must + V ?

Have to
reflects obligation that comes from outside, beyond our control (rule/law/circumstances)
You have to finish this work by 5 p.m., because the clients will be waiting for it.

+
to replace must in the past
– Why didn't you come to the meeting yesterday? – I had to help my mom.

(+) S + have(has)(had)(will have) to + V
(-) S + don't/doesn't have to + V
(?) Q.w. + do / does + S + have to + V

Need

Lack of neccesity

Don't have to
when smth is not necessary to do, when there's no need in it

You don't have to buy wine, we have some
You don't have to buy flowers for the first day

(-) S + don't/doesn't have to + V

Needn't
Don't need