
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
During the Spring Festival, DaKe shopping mall organized a lottery promotion event with the following rules: two balls are drawn at the same time from a box containing balls numbered 0, 1, 2, and 3. If the sum of the numbers on the two balls equals 5, the participant wins the first prize; if the sum equals 4, the second prize; and if the sum equals 3, the third prize. What is the probability of winning a prize?

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