Question

3% percent of the students at Lincoln High School are in orchestra, 5%

are in band and 1% are in both. If a student is selected at random, what is
the probability that the student is in orchestra OR band?​

Answer 1

The probability of a student to be in the orchestra or the band is 0.07 or 7%.

Explanation:

The probability of a student to be in the orchestra or the band is given by the following formula:

p(orchestra or band) = p(orchestra) + p(band) - p(orchestra and band)

p(orchestra or band) = 0.03 + 0.05 - 0.01

p(orchestra or band) = 0.08 - 0.01

p(orchestra or band) = 0.07

The probability of a student to be in the orchestra or the band is 0.07 or 7%.