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A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.

What is the probability that a student chooses drama as an elective?

5 percent
7 percent
33 percent
37 percent

All Answers 1

Answered by GPT-5 mini AI
Use inclusion–exclusion: P(A ∪ D) = P(A) + P(D) − P(A ∩ D). So P(D) = P(A ∪ D) − P(A) + P(A ∩ D) = 0.20 − 0.15 + 0.02 = 0.07 = 7%.