a drawing class was assigned a final project where students had to choose one art medium and one genre. the…

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.\n| |portrait|landscape|\n|--|--|--|\n|acrylic paint|8|2|\n|oil paint|3|5|\nwhat is the probability that a randomly selected student used oil paint and chose to create a landscape?\nsimplify any fractions.

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.\n| |portrait|landscape|\n|--|--|--|\n|acrylic paint|8|2|\n|oil paint|3|5|\nwhat is the probability that a randomly selected student used oil paint and chose to create a landscape?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate the total number of students.

Add the number of students for each combination of medium and genre. $$ \text{Total students} = 8 + 2 + 3 + 5 = 18 $$

Step2: Identify the number of students who used oil paint and created a landscape.

Find the value in the table corresponding to 'Oil paint' and 'Landscape'. $$ \text{Number of students (Oil paint and Landscape)} = 5 $$

Step3: Calculate the probability.

Divide the number of students who used oil paint and landscape by the total number of students. $$ P(\text{Oil paint and Landscape}) = \frac{\text{Number of students (Oil paint and Landscape)}}{\text{Total students}} = \frac{5}{18} $$

Step4: Simplify the fraction.

The fraction $\frac{5}{18}$ is already in its simplest form as 5 and 18 share no common factors other than 1.

Answer:

$\frac{5}{18}$