
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


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.

Present the answer in LaTex format: \boxed{Your answer}
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