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 a second dog from happiness pet hotel b. one of the dogs at oasis pet resort, and then one of the cats at oasis pet resort c. one of the dogs at oasis pet resort, and then one of the cats at happiness pet hotel d. one of the cats at happiness pet hotel, and then a second cat from happiness pet hotel

Explanation:

Step1: Recall dependent - events definition

Dependent events are events where the outcome of the first event affects the outcome of the second event. This usually occurs when the sample - space changes after the first event.

Step2: Analyze Option A

Choosing a dog from Oasis Pet Resort and then a dog from Happiness Pet Hotel. The first event does not change the number of dogs in Happiness Pet Hotel. So, these are independent events.

Step3: Analyze Option B

Choosing a dog from Oasis Pet Resort and then a cat from Oasis Pet Resort. After choosing a dog from Oasis Pet Resort, the total number of animals at Oasis Pet Resort changes. The probability of choosing a cat from Oasis Pet Resort is affected by the first event (choosing a dog from Oasis Pet Resort). So, these are dependent events.

Step4: Analyze Option C

Choosing a dog from Oasis Pet Resort and then a cat from Happiness Pet Hotel. The first event does not change the number of cats in Happiness Pet Hotel. So, these are independent events.

Step5: Analyze Option D

Choosing a cat from Happiness Pet Hotel and then another cat from Happiness Pet Hotel. If the first cat is not replaced, these would be dependent events. But we assume standard non - replacement in probability problems. However, compared to Option B where the events are from the same sample - space (Oasis Pet Resort), Option B is a more straightforward case of dependent events within a single location.

Answer:

B. one of the dogs at Oasis Pet Resort, and then one of the cats at Oasis Pet Resort