Question

diners at a restaurant were asked if they preferred fries or salad. the results are shown in the table.

	fries	salad	total
adults	13	12	25
total	26	19	45

based on the data in the table, how does the preference for fries compare between children and adults? move options to the blanks to complete the sentences.
the probability that a child prefers fries is (square).
the probability that an adult prefers fries is (square).
it is ______ that a child prefers fries compared to an adult.
(\frac{13}{45}) (\frac{1}{2}) (\frac{13}{25}) (\frac{13}{20}) less likely more likely equally likely

Explanation:

Step1: Calculate child's fries - preference probability

The number of children who prefer fries is 13 and the total number of children is 20. So the probability that a child prefers fries is $\frac{13}{20}$.

Step2: Calculate adult's fries - preference probability

The number of adults who prefer fries is 13 and the total number of adults is 25. So the probability that an adult prefers fries is $\frac{13}{25}$.

Step3: Compare the probabilities

Since $\frac{13}{20}= 0.65$ and $\frac{13}{25}=0.52$, and $0.65>0.52$, it is more likely that a child prefers fries compared to an adult.

Answer:

The probability that a child prefers fries is $\frac{13}{20}$.
The probability that an adult prefers fries is $\frac{13}{25}$.
It is more likely that a child prefers fries compared to an adult.