A drawing class was assigned a final project where students had to choose one art medium and one genre. The professor kept track of the types of projects submitted.

Question

Portrait Landscape
Acrylic paint 8 2
Oil paint 3 5
What is the probability that a randomly selected student used oil paint and chose to create a landscape?
Simplify any fractions.

Answer 1

To find the probability that a randomly selected student used oil paint and chose to create a landscape, we need to determine two pieces of information: the number of students who used oil paint to create a landscape, and the total number of students in the class.

From the data provided:

• Number of students who used oil paint for a landscape: 5
• Number of students who used oil paint for a portrait: 3

So, the total number of students who used oil paint = 3 (portrait) + 5 (landscape) = 8.

For students using acrylic paint:

• Number of students who used acrylic paint for a landscape: 2
• Number of students who used acrylic paint for a portrait: 8

Thus, the total number of students who used acrylic paint = 8 (portrait) + 2 (landscape) = 10.

Now, we can find the total number of students in the class:

• Total students = Total using oil paint + Total using acrylic paint
• Total students = 8 (oil paint) + 10 (acrylic paint) = 18.

Now, we can calculate the probability:

\[ P(\text{oil paint and landscape}) = \frac{\text{Number of students who used oil paint for landscape}}{\text{Total number of students}} = \frac{5}{18}. \]

Thus, the probability that a randomly selected student used oil paint and chose to create a landscape is \( \frac{5}{18} \).