There are 935 students at stoneville high school. at the school, 27 seniors are in the band, and there are 215 students in the band overall. what is the probability that a student is a senior given that they are in the band?

Let S represent the event that student is a senior and B represent the event that student is in a band.

Total number of students = 935
Number of students in the band = 215
Number of seniors in the band = 27

Probability that a student is in a band = P(B) = 215/935 = 43/47
Probability that a student is senior and is in a band = P(S & B) =P(S * B) = 27/935 

We are to find the probability that a student is a senior given that they are in the band. Mathematically this can be expressed as: P(S|B)



Using the values, we get:



Thus, there is a 0.032 (3.2%) probability that a student is a senior given that they are in the band