"coincidentally chose" is grammatically correct and can be used in written English.
It means that something was chosen by chance or happenstance, rather than intentionally. Example: "I coincidentally chose the same restaurant as my friend for lunch today."
Exact(2)
Both, coincidentally, chose songs about what hard times do to lovers and fighters.
In a rare move, both Smith and Dave Checketts, the Madison Square Garden president, who coincidentally chose this trip as the only one he was going to make with the Rangers this regular season, addressed the team before this morning's skate.
Similar(58)
Five of these proteins are known to contribute to two diseases in the test set and were coincidentally chosen for both phenotypes.
Ash, the Pokemon hero, has coincidentally been chosen to be king of a festival, and as the balance of the world becomes disturbed he is called upon to become the hero he represents in the festival.
Lennon chose the Ferrari, coincidentally less than a month after recording "Ticket to Ride".
Coincidentally, these two participants also chose to undertake the interview in a public location away from their home.
Mr. Serota, not coincidentally perhaps, was on the committee that chose the director of the Japanese museum.
When they began to conduct extensive research into the World Health Organization's Millennium Development Goals, they chose clean water accessibility as their focal point; coincidentally, 2008 was selected as the UN Year of Water and Sanitation, so their efforts were quite timely.
Coincidentally, as she did not know the entrants' countries of origin, she chose an all-American roster, including one artist from Canada.
Coincidentally, the ivy-garlanded Tsinghua University was founded in 1911 with foreign money: the United States chose not to accept part of the indemnities promised by China after the Boxer Rebellion, a nationalist uprising against foreigners that ended in 1901, and instead channeled the money to education.
Coincidentally, when we asked Richard Brody to pick an "overlooked masterpiece" for our Screen Gems series, he chose Jean-Luc Godard's "King Lear," which stars the very same Peter Sellars as a descendant of William Shakespeare.
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