
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
There are five cards in a bag, among which three are red cards labeled 1, 2, 3, and two are blue cards labeled 1, 2.  
(1) Draw two cards from these five cards, find the probability that the two cards have different colors and their sum of labels is less than 4;  
(2) Add one more green card labeled 0 into the bag, and then draw two cards from these six cards, find the probability that the two cards have different colors and their sum of labels is less than 4.

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