
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 a bag, there are 24 balls of three colors: red, white, and blue, all identical except for their color. It is known that there are 3 blue balls. If a ball is randomly drawn from the bag, the probability of drawing a red ball is $\frac{1}{6}$.

(1) Find the number of red balls;  
(2) If the balls of these three colors are numbered separately, and the No.1 red ball, No.1 white ball, No.2 blue ball, and No.3 blue ball are placed into another bag, and two people, A and B, draw one ball each from this bag in turn (A draws first, and the drawn ball is not replaced), find the probability that the number of the ball drawn by A is greater than the number of the ball drawn by B.

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