At a certain high school, 25 students play only stringed instruments, 15 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. What is the probability that a randomly selected student plays both a stringed and brass instrument?

Question

Ashanti Gregory

Mathematics

9 July, 12:34

At a certain high school, 25 students play only stringed instruments, 15 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. What is the probability that a randomly selected student plays both a stringed and brass instrument?

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Answers (1)

Know the Answer?

George Jacobs · Answer 1

1/10

Step-by-step explanation:

First, let's find the total number of students (25+15+5+5). We don't need to worry about them overlapping, as the questions says "only." We get the total of 50.

Out of the 50 students, there are 5 students that play both instruments. This means that 5 is our numerator and 50 is our denominator, giving us 5/50 or 1/10.