
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 15 red marbles and 10 blue marbles. Four marbles are selected at random without replacement. Calculate the probability that exactly two of the drawn marbles are red and two are blue. Express your result as a reduced fraction.

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