
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
An animal fattening complex receives calves from three farms. The number of calves from the first farm is twice that from the second farm, and the number from the second farm is three times that from the third farm. The first farm supplies $15 \%$ of calves with a live weight exceeding 300 kg. The second and third farms supply $25 \%$ and $35 \%$ of calves, respectively, whose live weight exceeds 300 kg. A randomly selected calf upon arrival at the fattening complex weighs $320 \mathrm{kg}$. What is the probability that it came from the third farm?

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