
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 has been introduced in which participants select a MagicBall number from 25 options and then select five TrophyBalls from a set of 48. To win the jackpot prize, participants must correctly guess the MagicBall number and pick the correct numbers, in the exact sequence, for the TrophyBalls. What is the probability that a single ticket wins the jackpot?

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