
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
The numbers 1 through 30 are written on 30 cards, with one number on each card. Sara picks one of the 30 cards at random. What is the probability that the number on her card will be a multiple of 3 or 4? Express your answer as a common fraction.

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