Answer:
C. 26%
Explanation:
We can sort students into three categories: Football Only, Baseball Only, and students who play Both.
Firstly, let's turn the percentages into numbers to make the calculations easier:
To find 22% convert into decimal and multiply:
0.22 x 200 = 44 TOTAL Football players
Similarly, 0.12 x 200 = 24 TOTAL Baseball players.
The question then tells us that 8 students play both.
This means there are 44-8 = 36 students who play ONLY football, and
24-8= 16 students who ONLY play baseball:
Football Only: Both: Baseball Only:
36 8 16
44 Total Football and 24 total baseball
The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.
Now we can add up all these numbers of students which gives us:
36 + 16 = 52
Now to find the percentage we just divide 52 by 200:
52/200 = 0.26 which is equivalent to 26%.
Therefore the answer is C. 26%
Hope this helped!