
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
If Jenna throws a standard six-sided die and continues rolling until she rolls the same number on consecutive rolls, what is the probability that her 20th roll is her last roll and among her throws, there are three consecutive rolls of a '3' at some point in the sequence before the game ends? Express your answer as an exact fraction.

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