
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
The probability that when all 10 dice are rolled, the sum of the numbers on the top faces is 15, equals the probability that the sum of the numbers on the top faces is what value.

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