At a highschool students can choose between 3 art electives and 4 history electives and 5 computer electives Each student can choose two electives. What is the approximate probability that a student uses a computer elective and an art elective

The answer to the question is

The approximate probability that a student uses a computer elective and an art elective is 15/144 ≈ 0.104 or 10.4 %

Step-by-step explanation:

The available options are

3 art electives, 4 history electives, 5 computer electives

Therefore the total number of electives = 3+4+5 = 12

The probability of choosing a computer elective P (computer) = 5/12

and the probability of choosing an art elective P (art) = 3/12

Therefore the combined probability of selecting an computer and an art elective is 3/12*5/12 = 15/144 = 0.104 or 10 %