
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
There are 5 cards labeled with the numbers $1$, $2$, $3$, $4$, $5$ respectively.

(1) What is the probability of drawing 2 cards such that the sum of the numbers on the cards is $5$?

(2) What is the probability that the number on the first card drawn is greater than the number on the second card drawn, if the first card is replaced before the second card is drawn?

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