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?
Use the addition rule: P(art or drama) = P(art) + P(drama) − P(both). Rearranging gives P(drama) = 20% − 15% + 2% = 7%. The probability that a student chooses drama is 7 percent, choice B.
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