
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 rolling five standard six-sided dice, it is found that two of the dice form a pair, another die shows a different number distinct from the pair, and the other two dice each show different numbers as well. The last two dice which show different numbers are set aside for rerolling. What is the probability that, after rerolling these two dice, at least three of the five dice show the same value?

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