in a class of students, the following data table summarizes how many students have a cat or a dog. what is…

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 have a cat?\n| |has a cat|does not have a cat|\n|--|--|--|\n|has a dog|6|7|\n|does not have a dog|9|4|

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 have a cat?\n| |has a cat|does not have a cat|\n|--|--|--|\n|has a dog|6|7|\n|does not have a dog|9|4|

Answer

Answer:

$\frac{6}{15}$

Explanation:

Step1: Identify relevant values

Number of students with cat and dog = 6, number of students with cat = 6 + 9 = 15.

Step2: Apply conditional - probability formula

Probability = $\frac{\text{Number of students with cat and dog}}{\text{Number of students with cat}}=\frac{6}{15}$.