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To find the probability that a student's first class of the day is a humanities class, given the student is female, we need to look at the number of female students who have a first class in humanities divided by the total number of female students.
Number of female students with a first class in humanities = 3
Total number of female students = 4
Therefore, the probability that a student's first class of the day is a humanities class, given the student is female is 3/4 = 0.750.
Rounded to the nearest thousandth, the probability is 0.750.