
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
We randomly draw three cards from a Hungarian deck of cards.

a) If all three cards are of different suits, what is the probability that at least one of them is an ace?

b) What is the probability of the above event without any conditions?

c) What is the probability that we draw three cards of different suits, and at least one of them is an ace?

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