
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
A bag contains four balls of identical shape and size, each labeled with a number: 1, 2, 3, or 4.
(1) When two balls are randomly drawn from the bag, what is the probability that the sum of their numbers is 4 or less?
(2) A ball is drawn at random from the bag, its number noted as m, then returned to the bag. Another ball is then drawn at random, its number noted as n. What is the probability that n < m + 2?

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