"fortuitous choice" is correct and can be used in written English.
You can use it to mean a choice that is made by chance, luck, or accident, rather than by plan or intention. For example: "We were delighted with the fortuitous choice of the new building for our company headquarters."
Australia was a fortuitous choice for a career at McDonald's.
Like his educational journey, Vukelj's career path was deter- mined by a fortuitous choice.
This trip, a year later, we discovered Confetti, a fortuitous choice that is actually next door in Plainville.
The 2nd-century Roman amphitheatre in the archaeological site of Heraclea Lyncestis ("Hercules [in the] the land of the lynx") was a fortuitous choice for Wang's stage interpretation.
That turned out to be a fortuitous choice, because he found that the forest had just undergone an annual clearing of bodies by officials and volunteers.
It was a fortuitous choice, since besides excursions, the company runs a year-round holistic retreat center on Kawawaymog Lake just west of the park, which attracts a slightly older crowd as interested in spiritual development as in paddling.
Why he doesn't see that his freedom to make his own fortuitous choices in life was dependent on Wyatt remaining his son's primary carer is anyone's guess.
This paper reconstructs the process of theorising and the many serendipitous and fortuitous choices made when learning in the field and from the actual experiences involved in the designing and completing of an accounting research enquiry.
His choice of subject was fortuitous: he had intended to write his doctorate on the Caribbean, but his outspoken communist sympathies led to him being deported from Barbados, and the vice-chancellor of Manchester University demanded that he study within a day's journey from the city.
The name of the screenwriter…made us wait for the film with heightened interest…Unfortunately, this time, although the choice of topic was quite fortuitous, its development in script form was not up to expected standards…With all the topic's seriousness and depth, the film sounds like an unpolished and transparent agitation piece.
The choice turned out to be both fortunate and fortuitous as the 22 more rhythmically and symbolically captures the double duplicity of both the military regulation itself and the bizarre world that Heller shapes in the novel.
