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 cat Does not have a cat
Has a dog 13 2
Does not have a dog 5 7

Answer 1

We want P(cat | no dog) = (number with cat and no dog) / (total with no dog) = 5 / (5+7) = 5/12 ≈ 0.4167 (41.67%).