Question

in a class of students, the following data table summarizes how many students have a cat or a dog. what is the probability that a student has a dog given that they have a cat?

	has a dog	does not have a dog
does not have a cat	2	5

Explanation:

Step1: Find total students with a cat

Students with a cat: has a dog ($9$) + does not have a dog ($14$) = $9 + 14 = 23$.

Step2: Find students with a cat and a dog

Students with a cat and a dog: $9$.

Step3: Calculate the probability

Probability = $\frac{\text{Students with a dog and a cat}}{\text{Total students with a cat}}$ = $\frac{9}{23}$.

Answer:

$\frac{9}{23}$