There are 200 students in the 7th grade class at Brookside Middle School. Of these students, 12% play volleyball and 15% play baseball. Four students play on both teams. What is the probability that a student plays either volleyball or baseball?A.25%B.22%C.27%D.30%
Question
There are 200 students in the 7th grade class at Brookside Middle School. Of these students, 12% play volleyball and 15% play baseball. Four students play on both teams. What is the probability that a student plays either volleyball or baseball?A.25%B.22%C.27%D.30%
Solution
First, let's find out how many students play volleyball and baseball.
12% of 200 students play volleyball, which is 24 students (200 * 0.12). 15% of 200 students play baseball, which is 30 students (200 * 0.15).
However, we know that 4 students play both sports. These students are being counted twice in our calculations above, so we need to subtract them from our total.
So, the total number of students who play either volleyball or baseball is 24 + 30 - 4 = 50 students.
The probability that a student plays either volleyball or baseball is therefore 50 out of 200, or 25%.
So, the answer is A. 25%.
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