Determine the Appropriate Probability Rule to Use
-At Bill s community college, 43.3% of students are Caucasian and 5.3% of students are Caucasian math majors. What percentage of Caucasian students are math majors
A) 12.2%
B) 8.2%
C) 38.0%
D) 48.6%

Question

Quizplus · Accepted Answer

The correct answer is A because the question asks for the percentage of Caucasian students who are math majors, which is a conditional probability. The formula for conditional probability is P(A|B) = P(A and B) / P(B), so we need to find P(Caucasian and math major) and P(Caucasian). We are given that P(Caucasian) = 43.3% and P(Caucasian and math major) = 5.3%, so we can plug these values into the formula to get P(Caucasian|math major) = 5.3% / 43.3% = 12.2%.