You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
Anna and Brigitte, two little girls, are twins; they look identical. At school, they sit together at one desk; one always sits on the left, and the other on the right. Each of them claims to be Brigitte. The teacher knows from experience that, generally speaking, the girl on the right lies one time out of four, and the girl on the left lies one time out of five. But the teacher wants to know the probability that Anna is sitting on the left. Help her.
user
\frac{3}{7}
rule
Anna and Brigitte, two little girls, are twins; they look identical. At school, they sit together at one desk; one always sits on the left, and the other on the right. Each of them claims to be Brigitte. The teacher knows from experience that, generally speaking, the girl on the right lies one time out of four, and the girl on the left lies one time out of five. But the teacher wants to know the probability that Anna is sitting on the left. Help her.
train