
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 that Bernardo and Silvia each randomly pick 3 distinct numbers, with at least one odd number, from the sets {1,2,3,4,5,6,7,8,9,10} and {1,2,3,4,5,6,7,8,9}, respectively, and form 3-digit numbers in descending order, calculate the probability that Bernardo's number is larger than Silvia's number.

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