
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
From a deck of playing cards (excluding Jokers, totaling 52 cards), randomly pick one card, and consider the following four sets of events:
1. "This card is a Heart" and "This card is a Diamond";
2. "This card is Red" and "This card is Black";
3. "The face of this card is 2, 3, 4, 6, or 10" and "This card is a Diamond";
4. "The face of this card is 2, 3, 4, 5, 6, 7, 8, 9, or 10" and "The face of this card is an Ace, King, Queen, or Jack",
Identify the events that are mutually exclusive. Write down all correct numbers.

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