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 who does not have a dog has a cat?

	has a dog	does not have a dog
does not have a cat	10	3

Explanation:

Step1: Find total students without a dog

Students without a dog: those with a cat (5) + those without a cat (3). So $5 + 3 = 8$.

Step2: Find students without a dog but with a cat

From the table, students without a dog and with a cat is 5.

Step3: Calculate the probability

Probability = (Students without dog and with cat) / (Total students without dog) = $\frac{5}{8}$.

Answer:

$\frac{5}{8}$