Question

In a small town, 60% of the households have a pet dog. If a household has a pet dog, there is a 70% chance that the household also owns a cat. If a household does not have a dog, there is a 30% chance that the household owns a cat. What is the probability that a randomly selected household owns a cat

Answer 1

Using proportions, it is found that there is a 0.54 = 54% probability that a randomly selected household owns a cat.

What is a proportion?

A proportion is a fraction of total amount.

In this problem, the proportions associated with owning a cat are given by:

• 70% of 60%(also have a dog).

• 30% of 40%(do not have a dog).

Hence:

p = 0.7(0.6) + 0.3(0.4) = 0.42 + 0.12 = 0.54.

0.54 = 54% probability that a randomly selected household owns a cat.

More can be learned about proportions at https://brainly.com/question/24372153