
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 three colors of balls in a bag: red, yellow, and blue, one of each color. Balls are drawn from the bag one at a time, the color is recorded, and then the ball is returned to the bag. This process is stopped as soon as all three different colors have been drawn. Find the probability that the process stops exactly after 5 draws.

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