41% of the students are male
So the probability to choose 1 male is 0.41
55% take state course
9% of them are male
The probability of chose a male in state. course is
9% of 55%
9/100 * 55/100 = 0.0495
The probability that a student is male and take the state course is 0.0495
The number of females = 100% - 41% = 59%
Since 9% of 55% are male taking the course
Then the rest are females
So subtract 0.0495 from 1 to get the number of females to take the course
1 - 0.0495 = 0.505
So subtract it from 0.59
0.59 - 0.505 = 0.085
The percent = 0.085 * 100% = 8.5%