Grades 9th 10th 11th 12th, burgers 9th 14, 10th 33, 11th 32, 12th 26, total 124, pizza 9th 30, 10th 25, 11th 56, 12th 34, total 145, Wings 9th 6, 10th 10, 11th 56, 12th 26, total 43, Tacos, 9th 47, 10th 30, 11th 22, 12th 29, total 128, Total 9th 126, 10th 98, 11th, 119, 12th, 107, total 450

The school administration surveyed the student body to see what type of food they would prefer to have at the picnic on the last day of school. Their responses are recorded in the table. According to the table, what is the probability that a randomly selected student is in 9th grade and chose pizza?

A. 24%
B. 21%
C. 7%
D. 60%

1 answer

To find the probability that a randomly selected student is in 9th grade and chose pizza, we need to use the following formula for probability:

\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

From the data provided:

  1. The number of 9th graders who chose pizza is given as 30.
  2. The total number of students surveyed is 450.

Now, we can calculate the probability:

\[ P(\text{9th grade and pizza}) = \frac{30}{450} \]

To simplify this fraction:

\[ P(\text{9th grade and pizza}) = \frac{30 \div 30}{450 \div 30} = \frac{1}{15} \]

Now we can convert this to a percentage:

\[ P(\text{9th grade and pizza}) = \frac{1}{15} \times 100 \approx 6.67% \]

Therefore, the closest option to 6.67% is:

C. 7%