In a certain Algebra and Trigonometry class, there are 16 male freshmen, 14 female freshmen, 7 male sophomores, and 5 female sophomores.

If a person is selected randomly from
the group, find the probability that the selected person is a freshman or female.
P(freshman or female) = (Type an integer or a simplified fraction.)

1 answer

To find the probability that the selected person is a freshman or female, we need to add the number of freshmen to the number of females and then divide it by the total number of people in the group.

The number of freshmen is 16 for males and 14 for females, so there are a total of 16 + 14 = <<16+14=30>>30 freshmen.
The number of females is 14 for freshmen and 5 for sophomores, so there are a total of 14 + 5 = <<14+5=19>>19 females.

The total number of people in the group is 16 + 14 + 7 + 5 = <<16+14+7+5=42>>42.

Therefore, the probability that the selected person is a freshman or female is 30 + 19 = 49 out of 42.

P(freshman or female) = 49/42 = <<49/42=1.17>>1.17
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