
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
A modified deck of cards contains 60 cards divided into 5 suits, each of which has 12 cards. Three of the suits ($\heartsuit$, $\diamondsuit$, and $\clubsuit$) are red, and two ($\spadesuit$ and $\text{Stars} \bigstar$) are black. If the cards in the deck are shuffled randomly, what is the probability that the first three cards drawn from the deck are all red?

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