
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
Four standard six-sided dice are rolled. We are told there is no four-of-a-kind, but there is a pair of dice that show the same number. These two dice are set aside, and the other two dice are rerolled. What is the probability that after rerolling these two dice, at least three of the four dice show the same value?

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