There are 30 seniors, 15 juniors, 12 freshman, and 10 sophomores in the club. When one student is picked randomly, what is the probability that a sophomore is not chosen?
57/67?
correct
To find the probability that a sophomore is not chosen, we need to determine the total number of students in the club and the number of students who are not sophomores.
The total number of students in the club is given by the sum of the number of seniors, juniors, freshmen, and sophomores:
Total number of students = 30 seniors + 15 juniors + 12 freshmen + 10 sophomores = 67
Now, to find the number of students who are not sophomores, we need to subtract the number of sophomores from the total number of students:
Number of students who are not sophomores = Total number of students - Number of sophomores = 67 - 10 = 57
Therefore, the probability that a sophomore is not chosen when one student is picked randomly is given by the number of students who are not sophomores divided by the total number of students:
Probability = Number of students who are not sophomores / Total number of students = 57 / 67 ≈ 0.85
So, the probability that a sophomore is not chosen is approximately 0.85, which is equivalent to 85/100 or 17/20, not 57/67.