
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
Samantha decides to roll a fair six-sided dice. She defines a "success" as rolling a 1 or 2, which gives her a success probability of 1/3 each time she rolls the dice. If Samantha rolls the dice 7 times, what is the probability that she gets exactly 3 successes?

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