The question asks for the probability that Aaron selects a retriever, given that Rebecka selects a retriever, without replacement. Let's break down the problem step by step:

Given:

• There are 8 puppies: 2 poodles, 5 terriers, and 1 retriever.
• Rebecka and Aaron each select one puppy at random, without replacement.
• We need to find the probability that Aaron selects the retriever given that Rebecka selects the retriever.

Solution:

1. Total number of puppies: 8 puppies (2 poodles, 5 terriers, 1 retriever).

2. Conditional Probability: We are asked to find the probability that Aaron selects the retriever given that Rebecka has already selected the retriever. This is a conditional probability problem.

   • If Rebecka selects the retriever, then there are 7 puppies left, but no retriever remains for Aaron to select.

   • Therefore, the probability that Aaron selects the retriever after Rebecka already selected it is 0 (because there is no retriever left for Aaron to choose from).

Final Answer:

The probability is 0.

Would you like more details or have any questions?

Here are some related questions:

1. What is the probability that Rebecka selects a terrier?
2. What is the probability that Rebecka selects a poodle and Aaron selects a terrier?
3. How does the probability change if there were 2 retrievers instead of 1?
4. What is the general formula for conditional probability?
5. How does "without replacement" affect the probabilities compared to "with replacement"?

Tip: When solving probability problems, always consider whether the events are independent or dependent, and if you're dealing with conditional probability, be clear about what conditions are affecting the outcome.