Some researchers claim there is an association between owning a dog and developing a flea infestation at home. They took a random sample of people living in St. Louis, Missouri, and recorded whether they had a dog and whether they had a flea infestation in their home. The results are shown in the following two-way table:
Has Flea Infestation Does Not Have Flea Infestation
Doesn’t have a dog. 8. 350
Has one dog. 12. 140
Has more than one dog. 17. 10

If a person is chosen at random, what is the probability that he or she does not have a flea infestation at home, given that he or she has one dog?
A) 0.02
B)0.142
C)0.63
D) 0.921

The probability that a randomly selected person does not have a flea infestation in their home assuming that they have one dog is 0.921 which is the correct option (D)

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To determine the probability that a person is chosen at random, that he or she does not have a flea infestation at home, given that he or she has one dog

For someone with just one dog

12 have fleas and 140 do not have fleas

The number of favorable outcomes = 140

Total number of outcomes = 152

The required probability P(no fleas) = 140/152

The required probability P(no fleas) = 0.921

Hence, the probability that a randomly selected person does not have a flea infestation in their home assuming that they have one dog is 0.921

Learn more about probability here:

brainly.com/question/11234923

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