
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 sixteen balls, some of which are red and the rest are blue. When three balls are drawn at random at the same time, the probability that exactly two balls are red is $\frac{1}{10}$. How many balls in the bag are red?

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