
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 revised lottery game consists of a drawing where a MegaBall is picked from 30 numbered balls and then six WinnerBalls are picked from 50 numbered balls. To win the jackpot, a participant must correctly pick the MegaBall and the six WinnerBalls, regardless of the order of the WinnerBalls. What is the probability that a single ticket will have the winning numbers?

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