
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
Given intersection \(A\) is the starting point, and the student can only move east or south, intersection \(C\) is 3 blocks east and 2 blocks south of \(A\), and intersection \(B\) is 2 blocks east and 3 blocks south of \(C\). Find the probability that the student passes through \(C\) but not through \(D\) on any given morning.

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