To find the probability that a student chosen randomly from the class has a dog, we need to consider the number of students that have a dog compared to the total number of students.
In this case, there are 6 students that have cats and dogs, and 7 students that only have dogs. Therefore, there are a total of 6 + 7 = 13 students that have dogs.
The total number of students in the class is the sum of all the entries in the table, which is 6 + 7 + 11 + 3 = 27.
Therefore, the probability that a student chosen randomly from the class has a dog is:
P(student has a dog) = Number of students with a dog / Total number of students
P(student has a dog) = 13 / 27
P(student has a dog) = 0.481 or 48.1%
Therefore, the probability that a student chosen randomly from the class has a dog is 48.1%.
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 chosen randomly from the class has a dog?
Has a cat Does not have a cat
Has a dog 6 7
Does not have a dog 11 3
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