Question

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 has a dog also has a cat?
has a cat does not have a cat
has a dog 2 3
does not have a dog 4 13
answer attempt 1 out of 2
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Explanation:

Step1: Find total students with a dog

To find the total number of students who have a dog, we add the number of students who have a dog and a cat, and the number of students who have a dog but not a cat. From the table, the number of students with a dog and a cat is 2, and the number of students with a dog but not a cat is 3. So we calculate $2 + 3 = 5$.

Step2: Calculate the probability

The probability that a student who has a dog also has a cat is the number of students who have both a dog and a cat divided by the total number of students who have a dog. We know the number of students with both a dog and a cat is 2, and the total number of students with a dog is 5 (from Step 1). So the probability is $\frac{2}{5}$.

Answer:

$\frac{2}{5}$