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 do not have a cat?

	has a cat	does not have a cat
does not have a dog	3	14

Explanation:

Step1: Identify required values

From the table: students with dog and no cat = 6; students with no cat = 6 + 14 = 20.

Step2: Calculate conditional probability

Probability = $\frac{\text{Has dog and no cat}}{\text{No cat}} = \frac{6}{20} = \frac{3}{10}$

Answer:

$\frac{3}{10}$