
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 new lottery game in our state consists of two drawings. First, a SuperBall is picked from among 30 numbered balls. Second, five PowerBalls are picked from among 50 numbered balls. To win this lottery, you must pick the SuperBall number correctly and also pick the numbers on the five PowerBalls in the exact order they are drawn. What is the probability that the ticket I hold has the winning numbers?

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