
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 four red cards numbered \\(1\\), \\(2\\), \\(3\\), and \\(4\\) respectively, and three blue cards numbered \\(1\\), \\(2\\), and \\(3\\) respectively. The cards are identical except for their color and number.  
\\((1)\\) Draw a card at random from the box. What is the probability that the number on the card is \\(1\\)?  
\\((2)\\) Remove the three blue cards and place them in another opaque box. Then, draw one card from each box. Use the number on the red card as the tens digit and the number on the blue card as the units digit to form a two-digit number. What is the probability that this two-digit number is greater than \\(22\\)?

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