Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.
<h3>What are Domesticated animals?</h3>
Domestic animals are known to bee dogs, cats, etc. that can live along with humans.
Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.
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We're told that



a. We want to find
. By definition of conditional probability,

By the law of total probability,

Then

(the first equality is Bayes' theorem)
b. We want to find
.

since
.
The answer simplified is 49y^8