
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
In a red box, there are 100 red balls, and in a green box, there are 100 green balls. Eight red balls were transferred to the green box, and then the same number of balls were transferred from the green box to the red box. The balls in the boxes were thoroughly mixed. Which is now greater: the probability of randomly drawing a green ball from the red box or a red ball from the green box?

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