
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
PUMaCDonalds, a newly-opened fast food restaurant, has 5 menu items.  If the first 4 customers each choose one menu item at random, the probability that the 4th customer orders a previously unordered item is  $m/n$ , where  $m$  and  $n$  are relatively prime positive integers.  Find  $m+n$ .

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