
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
A unit has two cafeterias, $A$ and $B$. Xiao Li randomly chooses one cafeteria to dine on Monday. If Xiao Li goes to cafeteria $A$ on Monday, the probability of going to cafeteria $A$ on Tuesday is $0.4$; if Xiao Li goes to cafeteria $B$ on Monday, the probability of going to cafeteria $A$ on Tuesday is $0.6$. The probability that Xiao Li goes to cafeteria $A$ on Tuesday is ______.

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