Question

Use the table to answer the question. Grade Burgers Pizza Wings Tacos Total 9 43 30 6 47 126 10 33 25 10 30 98 11 32 56 9 22 119 12 26 34 18 29 107 Total 134 145 43 128 450 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? (1 point) Responses 7% 7 percent 24% 24 percent 60% 60 percent 21%

Answer 1

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

\[ P(A \text{ and } B) = \frac{\text{Number of students in } A \text{ who chose } B}{\text{Total number of students}} \]

Where:

• \(A\) is the event of being in 9th grade.
• \(B\) is the event of choosing pizza.

According to the table, the number of students in 9th grade who chose pizza is 30, and the total number of students surveyed is 450.

Now, we can plug in the numbers:

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

Calculating this gives:

\[ P(\text{9th grade and pizza}) = \frac{30}{450} = \frac{1}{15} \approx 0.0667 \text{ or } 6.67% \]

When we round to the nearest percent, this is approximately 7%.

So the answer is 7%.