
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 a box containing five cards with the same shape and size, labeled with numbers $1$, $2$, $3$, $4$, $5$ respectively, calculate the probability that the third card is odd under the condition that the sum of the numbers on the first two cards is even.

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