Answer
a. $\frac{12}{25}$
b. $\frac{3}{10}$
Work Step by Step
a. There are $29-5=24$ students who are Democrats but not business majors. Thus the probability of finding a Democrat who is not a business major is $\frac{24}{50}=\frac{12}{25}$
b. First, find the probability of a Democrat or a business major as
$p=\frac{29}{50}+\frac{11}{50}-\frac{5}{50}=\frac{35}{50}=\frac{7}{10}$
Then the probability of finding a student who is neither a Democrat nor a business major is
$1-p=\frac{3}{10}$
