Question

select the correct answer.
there are 28 dogs and 12 cats at oasis pet resort. there are 19 dogs and 6 cats at happiness pet hotel.
choosing which two animals describes a pair of dependent events?
a. one of the dogs at oasis pet resort, and then one of the cats at oasis pet resort
b. one of the dogs at oasis pet resort, and then a second dog from happiness pet hotel
c. one of the cats at happiness pet hotel, and then a second cat from happiness pet hotel
d. one of the dogs at oasis pet resort, and then one of the cats at happiness pet hotel

Explanation:

Step1: Define dependent events

Dependent events are events where the outcome of the first event changes the probability of the second event (i.e., sampling without replacement from the same group).

Step2: Analyze each option

• Option A: Choosing a dog then a cat from Oasis are independent (separate groups, total count doesn't affect cross-group probability).
• Option B: Dogs from two separate hotels are independent (different populations).
• Option C: Choosing a cat then a second cat from Happiness Hotel: the first selection reduces the total number of cats at the hotel, so the probability of the second cat changes. This is dependent.
• Option D: Animals from two separate hotels are independent (different populations).

Answer:

C. one of the cats at Happiness Pet Hotel, and then a second cat from Happiness Pet Hotel