A survey of 106 households was done to investigate the type of pets in the house. The results are shown in the Venn diagram below. If a household was selected at random, which of the following would be the probability the house would have cats given they don't have dogs? *

35 cats, 24 dogs, 19 both, 28 is the number outside the diagram

Question

Tessa Haley

Mathematics

15 August, 21:08

A survey of 106 households was done to investigate the type of pets in the house. The results are shown in the Venn diagram below. If a household was selected at random, which of the following would be the probability the house would have cats given they don't have dogs? *

35 cats, 24 dogs, 19 both, 28 is the number outside the diagram

+3

Answers (1)

Know the Answer?

Esther Fitzgerald · Answer 1

5/9

Step-by-step explanation:

35 households have only cats, 24 have only dogs, 19 have both cats and dogs, and 28 have neither.

The total number of households without dogs is 35 + 28 = 63.

The number of these households that have cats is 35.

So the probability is 35/63 = 5/9.