
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
In a bag, there are 5 balls, each marked with a number from 1 to 5. The mass of a ball marked with the number $x$ is $(x^2 - 5x + 30)$ grams. These balls are drawn from the bag with equal probability (unaffected by mass). If two balls are drawn at random from the bag at the same time, the probability that they have the same mass is ___.

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