like‧li‧hood [singular, uncountable]
the degree to which something can reasonably be expected to happen [= probability]
Using a seatbelt will reduce the likelihood of serious injury in a car accident.
little/lower/high/greater etc likelihood
There was very little likelihood of her getting the job.
They must face the likelihood that the newspaper might go bankrupt.
If I refused, it would in all likelihood mean I'd lose my job.