How does a cannon score points in English billiards?

In English billiards, a cannon (also known as a carom) is a scoring sequence in which the striker’s cue ball makes contact with the two other balls on the table, either successively or simultaneously.1

This is one of three primary ways to score points in the game, alongside the losing hazard (pocketing the striker's cue ball after contact with another ball) and the winning hazard (pocketing a ball other than the striker's cue ball after contact). A player continues their turn at the table as long as they successfully score points through these strokes.1