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	6	2

Explanation:

Step1: Identify relevant counts

Number with dog and no cat: 10; total with no cat: 10 + 2 = 12

Step2: Calculate conditional probability

Probability = $\frac{\text{No cat and dog}}{\text{Total no cat}} = \frac{10}{12} = \frac{5}{6}$

Answer:

$\frac{5}{6}$