The probability that a student chosen at random plays both sport and instrument is 3/17.
Probability is the likelihood of an event happening or not happening.
Analysis:
let s represent sport, and I represent instrument.
Total number of students = 26
n(s) = 5
n(I) = 15
n(I n S) = 3
n(s n i') = 5 - 3 = 2
n( s' n I) = 15 - 3 = 12
n( S u I) = 2 + 12 + 3 = 17
17 students play sport, instrument or both.
probability students plays both = 3/17
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