
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
Given an unfair die that has a probability 4 times as likely to result in an odd number as an even number, three such dice are rolled. Find the probability that the sum of the numbers rolled is odd.

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