A survey found that 39% of the population owned dogs, 22% owned
cats, and 8% of the population owned both a cat and a dog? Find
the probability that a person owns a cat or a dog.

53% probability that a person owns a cat or a dog.

Step-by-step explanation:

I am going to solve this question building the Venn's diagram of these probabilities,

We have that:

P(A) is the probability that a person owns a dog.

P(B) is the probability that a person owns a cat.

8% of the population owned both a cat and a dog

This means that

22% owned cats

This means that

39% of the population owned dogs

This means that

Find the probability that a person owns a cat or a dog.

This is , which is given by:

So

53% probability that a person owns a cat or a dog.

0.53

Step-by-step explanation:

Percentage who owned dogs, n(D)=39%

Percentage who owned cats, n(C)=22%

Percentage who owned both dogs and cats,

From Probability Theory

The probability that a person owns a cat or a dog therefore is 0.53.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

4 puzzles in 3 hours

step-by-step explanation: