
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
Two boxes each contain black and white marbles, with a total of 36 marbles between them. One box contains only black marbles. One marble is taken from each box randomly. The probability that both marbles are black is $\frac{18}{25}$. Calculate the probability that both marbles are white, given in the form $m/n$ where $m$ and $n$ are coprime integers. What is $m + n$?

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