It's all about the audition, not the degree. That said, most people who make it into orchestras have graduate degrees in music performance.
By audition
Dallas Symphony Orchestra was created in 1900.
BBC Symphony Orchestra was created in 1930.
Xalapa Symphony Orchestra was created in 1929.
Newfoundland Symphony Orchestra was created in 1962.
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By audition
The first symphony orchestra was in Germany.
Melbourne Symphony Orchestra was created in 1906.
Youngstown Symphony Orchestra was created in 1925.
Tulsa Symphony Orchestra was created in 2005.
Pittsburgh Symphony Orchestra ended in 1910.
Pittsburgh Symphony Orchestra was created in 1895.
Tokyo Symphony Orchestra was created in 1946.
Memphis Symphony Orchestra was created in 1960.
MIT Symphony Orchestra was created in 1884.
Portland Symphony Orchestra was created in 1923.