
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
A selects three different elements from the set \(\{1,2,3,4,5,6,7,8,9\}\) and arranges them in descending order to form a three-digit decimal number \(a\). B selects three different elements from the set \(\{1,2,3,4,5,6,7,8\}\) and arranges them in descending order to form a three-digit decimal number \(b\). What is the probability that \(a > b\)?

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