ADJ

big, great, huge, overwhelming, substantial, vast
silent
The march was by the silent majority who oppose terrorism

VERB + MAJORITY

comprise, constitute, form, make up
English speakers form the majority of the population

MAJORITY + NOUN

culture, group, population
opinion, view
shareholder
stake
The French company holds a majority stake in the retail chain

PREP

in the ~
In the general population, right-handed people are in the majority

PHRASES

in the majority of cases
In the vast majority of cases, customers get their money back

ADJ

handsome, huge, large, massive, overwhelming, substantial
clear, comfortable, decisive
bare, narrow, slender, slight, slim, small, tiny, wafer-thin
ten-seat, three-to-one, two-thirds, etc.
absolute, outright, overall
Although they are the biggest single party, they don't have an outright majority
simple
decreased, increased
working
the first Labour government with a clear working majority in the House
parliamentary
government
Conservative, Labour, etc.
necessary, requisite

VERB + MAJORITY

command, have
achieve, gain, get, secure, win
They failed to win the requisite two-thirds majority
defend, maintain, retain
lose
overturn
indicate, show

MAJORITY + NOUN

government, rule
party
decision
vote, voting
support

PREP

by a ~
They won by a huge majority
~ against
Latest opinion polls have a comfortable majority against the reform
~ in
a majority in Parliament
~ in favour of
Opinion polls indicated a two-thirds majority in favour of ratification of the treaty
~ over
He has a decisive majority over his main rivals