
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
The numbers $1,2,\dots,9$ are arranged randomly into a $3 \times 3$ grid. Each number is used exactly once. What is the probability that the sum of the numbers in each diagonal is odd?
A) $\frac{1}{21}$
B) $\frac{1}{126}$
C) $\frac{1}{63}$
D) $\frac{2}{21}$
E) $\frac{1}{7}$

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