Use the table to answer the question. Art Program GRADE Band Drama Choir Art Total 9th 22 25 19 23 89 10th 26 14 20 27 87 11th 18 22 15 20 75 12th 10 12 13 23 58 Total 76 73 67 93 309 Students were surveyed about their favorite art program at school. Their responses are recorded in the table. Find the probability that a randomly selected ninth-grader enjoys drama the most. Round your answer to the nearest whole number.

1 answer

To find the probability that a randomly selected ninth-grader enjoys drama the most, we can use the following formula for probability:

\[ P(\text{Drama}) = \frac{\text{Number of ninth graders who chose Drama}}{\text{Total number of ninth graders}} \]

From the table, we see that the number of ninth graders who chose Drama is 25, and the total number of ninth graders is 89.

Now we can calculate the probability:

\[ P(\text{Drama}) = \frac{25}{89} \]

To express this as a percentage, we can perform the division:

\[ P(\text{Drama}) \approx 0.2809 \quad \text{(approximately)} \]

To convert this to a percentage, we multiply by 100:

\[ 0.2809 \times 100 \approx 28.09 % \]

Rounding to the nearest whole number gives us:

\[ \approx 28% \]

Therefore, the probability that a randomly selected ninth-grader enjoys drama the most is 28%.