<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Vasily Petrov is completing an English language assignment. The assignment consists of 10 English phrases and their translations into Russian in random order. He needs to match the phrases with their correct translations. Each correct match earns 1 point. Hence, the possible scores range from 0 to 10 points. Vasya knows nothing about the assignment and randomly matches the options. Find the probability that he scores exactly 9 points. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
0
Vasily Petrov is completing an English language assignment. The assignment consists of 10 English phrases and their translations into Russian in random order. He needs to match the phrases with their correct translations. Each correct match earns 1 point. Hence, the possible scores range from 0 to 10 points. Vasya knows nothing about the assignment and randomly matches the options. Find the probability that he scores exactly 9 points.
test