
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 numbered \\(1\\), \\(2\\), \\(3\\); two are blue cards numbered \\(1\\), \\(2\\).

\\((1)\\) Draw two cards from these five cards. Calculate the probability that the two cards have different colors and their sum of numbers is less than \\(4\\).

\\((2)\\) Add one green card numbered \\(0\\) into the bag. Now draw two cards from these six cards. Calculate the probability that the two cards have different colors and their sum of numbers is less than \\(4\\).

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