
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 person has 4 keys, among which 2 can open the door. Now, if one key is randomly selected to try to open the door and the ones that cannot open the door are discarded, what is the probability that the door can be opened on the second attempt? What is the probability if the tried keys are not discarded?

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