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|3|4|\n|oil paint|2|2|\nwhat is the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait?\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|3|4|\n|oil paint|2|2|\nwhat is the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait?\nsimplify any fractions.

Answer

Answer:

$\frac{3}{5}$

Explanation:

Step1: Identify relevant values

Number of portrait - acrylic projects = 3, number of portrait - oil projects = 2.

Step2: Use conditional probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{3 + 2}=\frac{3}{5}$