AnswersConcepts in Probability and Statistics ACumulative Exam — Cumulative examQuestion 57
57
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 57 • Concepts in Probability and Statistics A

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?

Answer
A
5 percent
B
7 percent
C
33 percent
D
37 percent

Explanation

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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