
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
On a cube, 2 faces are painted red, 2 faces are painted yellow, 1 face is painted green, and the remaining face is painted with all three colors, red, yellow, and green. What is the probability that the face facing up after the cube is thrown has the color red?

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