"predictable course" is correct and usable in written English.
You can use it to describe an expected or anticipated chain of events, such as "The disaster had a predictable course of destruction, leaving no buildings unscathed."
"This has run a fairly predictable course," he said.
The battle's effects followed a predictable course, with little differentiation among its victims' backgrounds.
On the way the film flirts with romance but to its credit avoids a predictable course.
In the closing phase of the process, Paisley, characteristically, did not chart a predictable course.
The debate in Japan has taken on a heated, though predictable, course.
Ms. Bunch was determined that it not take the predictable course as an incubator for international political leaders.
The trajectory of his characters' relationship was predictable – of course their bodies were thrown together by the motion of the carriage, of course there was a cancelled train and of course they were forced to share the only available hotel room.
Clinical pathways are care plans applicable to patient care procedures that present variations in practice and a predictable clinical course.
When Demarai Gray stroked England ahead early on, it seemed as though the evening would take a predictable, gentle course.
It seemed tired and predictable: of course the priest had done a bad thing, because this is The Walking Dead.
They claimed, correctly, that "Gravity" was visually astounding; I replied that its story was predictable (of course she's going to survive!) and that its dialogue was absurd ("Tell her that Momma found her red shoe").
