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The problem in the image asks about the probability that two people (Rebecka and Aaron) each select a poodle at random without replacement from a group of 11 puppies. There are 2 poodles, 5 terriers, and 4 retrievers in the group.

To solve the problem, let's calculate the probability step by step:

1. **Total Puppies**: 11 puppies in total.
2. **First Selection (Rebecka)**: 
   - The probability that Rebecka selects a poodle is the ratio of poodles to the total puppies:
   \[
   P(\text{Rebecka selects poodle}) = \frac{2}{11}
   \]
3. **Second Selection (Aaron)**: 
   - After Rebecka picks a poodle, only 10 puppies remain, and there is now only 1 poodle left.
   \[
   P(\text{Aaron selects poodle}) = \frac{1}{10}
   \]
4. **Combined Probability**: Since both events are independent and without replacement, we multiply the probabilities:
   \[
   P(\text{Both select poodle}) = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}
   \]

So, the probability that both Rebecka and Aaron select a poodle is **\(\frac{1}{55}\)**.

Would you like more details or have any questions about this?

Here are five related questions you could explore:
1. What is the probability that both Rebecka and Aaron select terriers?
2. How does the probability change if there were 3 poodles instead of 2?
3. What is the probability that neither of them selects a retriever?
4. What if there were replacement—how would the probability change?
5. What is the probability that at least one of them selects a poodle?

**Tip**: Always double-check if the scenario involves replacement or no replacement, as it significantly affects the probability calculation.

A pet store has 11 puppies, including 2 poodles, 5 terriers, and 4 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that both select a poodle.

Calculate the probability that two people, Rebecka and Aaron, each select a poodle at random without replacement from a set of 11 puppies (2 poodles, 5 terriers, 4 retrievers). The problem demonstrates the use of probability formulas and the multiplication rule for independent events. Suitable for students in Grades 10-12.

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