
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 that in an opaque bag, there are three balls of equal size (two yellow and one red), three students draw a ball without replacement, and it is known that the first student did not draw the red ball, calculate the probability that the last student draws the red ball.

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