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At a large high school, $31\%$ of students are involved in the school's music program (band, orchestra, choir, etc.). At this same school, $19\%$ of students are involved in the music program and are on the honor roll.

If a student is selected at random from among those who participate in the school's music program, what is the probability the selected student will be on the honor roll?

A

$0.12$

B

$0.19$

C

$0.31$

D

$0.5$

E

$0.61$

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