Answer
a). Probability that the person chosen is a democrat and not a business major = $\frac{12}{25}$
b). Probability that the person chosen is neither a democrat nor a business major = $\frac{3}{10}$
Work Step by Step
Total students or total outcomes = 50
a). For finding probability that the person chosen is a democrat and not a business major, favorable outcomes = 29 - 5 = 24
Probability that the person chosen is a democrat and not a business major = $\frac{24}{50}$ = $\frac{12}{25}$
b). For finding probability that the person chosen is neither a democrat nor a business major, favorable outcomes = 50 - 29 - 11 + 5 = 15
Probability that the person chosen is neither a democrat nor a business major = $\frac{15}{50}$ = $\frac{3}{10}$
