
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 two boxes, A and B, each containing 5 balls numbered 1, 2, 3, 4, and 5. One ball is drawn from each box, with each ball having an equal chance of being drawn.
(1) Find the probability that the numbers on the two drawn balls are consecutive integers.
(2) Find the probability that the sum and product of the numbers on the two drawn balls are both not less than 5.

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