
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 has 60 cards divided into 4 suits, each of which now has 15 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called 'hearts' and 'diamonds') are red, making a total of 30 red cards, and the other two ($\spadesuit$ and $\clubsuit$, called 'spades' and 'clubs') are black, also totaling 30 black cards. The cards in the deck are placed in random order. What is the probability that the first three cards drawn from the deck are all the same color?

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