
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 draw one card from two packs of Hungarian cards independently. What is the probability that

a) the two drawn cards are of the same color?

b) the two drawn cards have the same value?

c) the two drawn cards are either of the same color or have the same value?

d) the card drawn from the second pack has a higher value than the card drawn from the first pack?

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