Question

There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 38% B. 34% C. 26% D. 30%

Answer 1

The percentage of the students playing football and baseball is equal to,
                                    (8 / 200) x 100% = 4%
The probability of the students playing either football or baseball is,
                P(f or b) = P(f) + P(b) - P(f and b)
Substituting from the known values,
                P(f or b) = 0.22 + 0.12 - 0.04 = 0.3
Thus, the final answer is 30% which is letter D.