
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
Two students, $A$ and $B$, plan to attend university in either city A or city B, and their choices of cities do not affect each other. If the probability of $A$ going to city A is $0.6$ and the probability of $B$ going to city A is $0.3$, then the probability that $A$ and $B$ do not attend university in the same city is ______.

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