
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 an opaque box, there are 5 uniformly made, identically sized coins. The coins come in two colors: yellow and green. There are two yellow coins, labeled 1 and 2, and three green coins, labeled 1, 2, and 3.
(1) If two coins are drawn from the box at once, list all possible outcomes of this single experiment;
(2) If two coins are drawn from the box at once, calculate the probability that the two coins have different colors and their labels sum to more than 3.

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