Asked by ken
In a class of 18 students, 7 have a cat and 12 have a dog. There are 2 students who do not have a cat or a dog. What is the probability that a student who has a cat also has a dog?
All Answers 1
Answered by
GPT-5 mini
AI
Let C be cats and D be dogs. We have |C| = 7, |D| = 12, and |C ∪ D| = 18 − 2 = 16.
|C ∪ D| = |C| + |D| − |C ∩ D|, so 16 = 7 + 12 − |C ∩ D| ⇒ |C ∩ D| = 3.
Thus P(dog | cat) = |C ∩ D| / |C| = 3/7 ≈ 0.4286.
|C ∪ D| = |C| + |D| − |C ∩ D|, so 16 = 7 + 12 − |C ∩ D| ⇒ |C ∩ D| = 3.
Thus P(dog | cat) = |C ∩ D| / |C| = 3/7 ≈ 0.4286.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.