
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 there are 5 different books, with 2 Chinese books, 2 math books, and 1 physics book, calculate the probability that books of the same subject are not adjacent to each other when they are randomly placed on the same shelf.

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