In a class of students, the following data table summarizes how many students have a cat or a dogWhat is the probability that a student has a dog given that they have a cat? Has a cat Does not have a cat Has a dog 92 Does not have a dog 14 5

Answer 1

To find the probability that a student has a dog given that they have a cat, we need to calculate the conditional probability.

Conditional probability can be calculated using the formula:

P(A|B) = P(A and B) / P(B)

In this case, "A" represents having a dog and "B" represents having a cat.

From the table, we can see that the number of students who have a cat and a dog is 92. The total number of students who have a cat is 92 + 5 = 97.

So, P(Dog|Cat) = 92 / 97 ≈ 0.9485

Therefore, the probability that a student has a dog given that they have a cat is approximately 0.9485 or 94.85%.