In a class 30 of students, 13 have a cat and 7 have a dog. There are 4 students who have a cat and a dog. What is the probability that a student has a dog given that they have a cat?
Mathematics · College · Thu Feb 04 2021
Answered on
Given the statment:
In a class 30 of students, 13 have a cat and 7 have a dog. There are 4 students who have a cat and a dog.
Determine the probability that a student has a dog given that they have a cat.
Solution:
In order to determine the probability, we simply need to divide the number of students which have a cat and a dog by the total number of students. In this case, we divide 4 by 30.
= 4 / 30
= 0.13333..
Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.
= (0.133333…)(100)
= 13.33%
Final answer:
The probability that a student has a dog given that they have a cat is 13.33%