
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
In a box, there are 5 ping-pong balls of the same size but different colors, among which there are 3 red balls and 2 white balls. Now, one ball is randomly drawn from the box to determine its color and then put back into the box. This process is repeated 3 times. The mathematical expectation of the number of red balls drawn is \_\_\_\_\_ (expressed as a fraction).

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