In a certain Algebra and Trigonometry class, there are 9 male freshmen, 7 female freshmen, 12 male sophomores, and 18 female sophomores. If a person is selected randomly from the group, find the probability that the selected person is a freshman or female.

There are 9 + 7 = <<9+7=16>>16 freshmen.

There are a total of 16 freshmen + 12 sophomores = <<16+12=28>>28 students.
In addition, there are 7 females + 18 females = <<7+18=25>>25 females.
Hence, there are 16 freshmen + 25 females - 7 female freshmen = <<16+25-7=34>>34 freshmen or females.
There are a total of 9 male freshmen + 7 female freshmen + 12 male sophomores + 18 female sophomores = 46 students.
Therefore, the probability that the person is a freshman or female is 34/46 = <<34/46=0.7391304>>0.74 (rounded to the nearest hundredth). Answer: \boxed{0.74}.