
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
Mason and Jackson played dice. They had three dice, and the player who won was the one whose sum of the rolled points equaled one of the two numbers they named before the game started. Mason named 7 and 13, and one of his successful throws is shown in the diagram.

What are Mason's chances of winning on the next roll? Which two numbers should Jackson name so that the players have an equal chance of success?

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