Question

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 1

The probability that a student chooses drama as an elective is 7%.

What is the concept of probability?

Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.

In this case, we can call:

• A represents Art
• D represents Drama.

So, the information given was:

• P(A) = 15%
• P(A or D) = 20%
• P(A and B) = 2%

The formula will be:

P(A or D) = P(A) + P(D) - P(A and D)

So:

$20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%$

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