Pet ownership suppose that 25% of people have a dog, 29% of people have a cat, and 12% of people own both. what is the probability that someone owns a dog or a cat

There is a 42% probability that someone owns a dog or a cat.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a person has a dog.

B is the probability that a person has a cat.

We have that:

In which a is the probability that a person has a dog but not a cat and is the probability that a person has both a dog and a cat.

By the same logic, we have that:

We start finding the values from the intersection of these sets:

12% of people own both.

This means that

29% of people have a cat.

This means that . So:

25% of people have a dog

This means that . So:

What is the probability that someone owns a dog or a cat?

.

There is a 42% probability that someone owns a dog or a cat.

207/8 is the right