Asked by e

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.

Which expression represents the probability that a student chooses an art elective and a history elective?

StartFraction 7 C 2 Over 12 C 2 EndFraction
StartFraction 7 P 2 Over 12 P 2 EndFraction
StartFraction (3 C 1) (4 C 1) Over 12 C 2 EndFraction
StartFraction (3 P 1) (4 P 1) Over 12 P 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Total electives = 3 + 4 + 5 = 12. Favorable choices: pick 1 of the 3 art and 1 of the 4 history → (3 C 1)(4 C 1). Total possible unordered pairs = (12 C 2). So the probability is

(3 C 1)(4 C 1) / (12 C 2),

which equals 12/66 = 2/11.