Question: While classical music students at Juilliard specialize in an instrument like french horn, violin, or piano, many of these highly talented students play multiple instruments.

While classical music students at Juilliard specialize in an instrument like french horn, violin, or piano, many of these highly talented students play multiple instruments. For the population of Juilliard music students, 30.0% play a string instrument (violin, cello, viola, bass), 61.0% play piano, and 18.3% play both.

If we choose students one at a time at random from the population of Juilliard students and we define X=thenumberoftrialsuntilweselectapianoplayerX=thenumberoftrialsuntilweselectapianoplayer, what is P(X>1)P(X>1)?

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