
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 1002 banana candies and 1002 apple candies in a box. Lara takes two candies from the box without looking at the flavor. If $q$ is the probability that the two candies are of different flavors and $p$ is the probability that the two candies are of the same flavor, what is the value of $q - p$?
(a) 0
(b) $\frac{1}{2004}$
(c) $\frac{1}{2003}$
(d) $\frac{2}{2003}$
(e) $\frac{1}{1001}$

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