Mrs. Burke’s chemistry class has 115
students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday’s work.
Mrs. Burke’s Chemistry Class
Academic Year Chemistry Majors Non-Chemistry Majors
Freshmen 9
14
Sophomores 16
17
Juniors 15
14
Seniors 17
13
Step 1 of 2 : What is the probability that she selects a chemistry major, given that she chooses randomly from only the sophomores? Enter a fraction or round your answer to 4
decimal places, if necessary.
To find the probability of selecting a chemistry major from the sophomores, we first need to add up the total number of sophomores in the class:
16 (chemistry majors) + 17 (non-chemistry majors) = 33 sophomores
Next, we calculate the probability of selecting a chemistry major from the sophomores by taking the number of chemistry majors in the sophomore class (16) and dividing it by the total number of sophomores (33):
P(chemistry major | sophomore) = 16/33 ≈ 0.4848
Therefore, the probability that Mrs. Burke selects a chemistry major from the sophomores is approximately 0.4848.