Instead of charging admission to the fall​ dance, one high school required that each person bring one can of food for a local food pantry. 100 people came to the​ dance, and 47 of them brought a can of corn.

Question

Question content area bottom
Part 1
What is the probability that a randomly selected can of food will be corn​?
Write your answer as a fraction or whole number.
​P(corn​) ​=
  
enter your response here
Write your answer as a percent.
​P(corn​) ​=
  
enter your response here​%
Write your answer as a decimal rounded to the hundredths place.
​P(corn​) ​=
  
enter your response here

Answer 1

To find the probability that a randomly selected can of food will be corn, we can use the following formula:

\[ P(\text{corn}) = \frac{\text{number of cans of corn}}{\text{total number of cans of food}} \]

From the information provided:

• Number of cans of corn = 47
• Total number of people (and hence cans of food) = 100

Part 1: As a Fraction

Using the formula:

\[ P(\text{corn}) = \frac{47}{100} \]

Part 2: As a Percent

To convert the fraction to a percentage, we multiply by 100:

\[ P(\text{corn}) = \frac{47}{100} \times 100 = 47% \]

Part 3: As a Decimal

To express the fraction as a decimal, we divide the numerator by the denominator:

\[ P(\text{corn}) = \frac{47}{100} = 0.47 \]

Final Answers

• \( P(\text{corn}) = \frac{47}{100} \)
• \( P(\text{corn}) = 47% \)
• \( P(\text{corn}) = 0.47 \)