express the answers in simplest form.\na list contains the names of seven anthropology students, three…

express the answers in simplest form.\na list contains the names of seven anthropology students, three sociology students, and two psychology students. if one name is selected at random to assist in the professors new study, find the probability that the chosen student is\n\npart: 0 / 5\n\npart 1 of 5\n\n(a) an anthropology student.\n$p(\\text{anthropology}) = \\frac{7}{12}$\n\npart: 1 / 5\n\npart 2 of 5\n\n(b) a psychology student.\n$p(\\text{psychology}) = \\square$

express the answers in simplest form.\na list contains the names of seven anthropology students, three sociology students, and two psychology students. if one name is selected at random to assist in the professors new study, find the probability that the chosen student is\n\npart: 0 / 5\n\npart 1 of 5\n\n(a) an anthropology student.\n$p(\\text{anthropology}) = \\frac{7}{12}$\n\npart: 1 / 5\n\npart 2 of 5\n\n(b) a psychology student.\n$p(\\text{psychology}) = \\square$

Answer

Explanation:

Step1: Calculate total number of students

$7 + 3+2=12$

Step2: Calculate probability of choosing a psychology student

The number of psychology students is 2. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $P(\text{psychology})=\frac{2}{12}=\frac{1}{6}$

Answer:

$\frac{1}{6}$