Question

A grocery store recently sold several cans of soup.
cream of mushroom 2
chicken noodle 40
minestrone 7
lentil 12
vegetable beef 27
What is the experimental probability that the next can sold will be chicken noodle soup?
Write your answer as a fraction or whole number.
P(chicken noodle)=

Answer 1

To find the experimental probability that the next can sold will be chicken noodle soup, you first need to determine the total number of cans sold.

You can calculate the total number of cans by adding the numbers of each type of soup together:

\[
\text{Total cans} = 2 \ (\text{cream of mushroom}) + 40 \ (\text{chicken noodle}) + 7 \ (\text{minestrone}) + 12 \ (\text{lentil}) + 27 \ (\text{vegetable beef})
\]

\[
\text{Total cans} = 2 + 40 + 7 + 12 + 27 = 88
\]

Next, to calculate the experimental probability of selling a can of chicken noodle soup, you need to use the formula for probability:

\[
P(\text{chicken noodle}) = \frac{\text{Number of chicken noodle cans}}{\text{Total number of cans}}
\]

Now plug the numbers into the formula:

\[
P(\text{chicken noodle}) = \frac{40}{88}
\]

To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 8:

\[
P(\text{chicken noodle}) = \frac{40 \div 8}{88 \div 8} = \frac{5}{11}
\]

Thus, the experimental probability that the next can sold will be chicken noodle soup is:

\[
P(\text{chicken noodle}) = \frac{5}{11}
\]