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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

7 percent

Step-by-step explanation:

We have the following information from the question:

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:

The probability that a student chooses both art and drama is 2 percent:

Recall that:

We plug in the various probabilities to get:

Hence the probability that a student chooses drama as an elective is 7 percent