
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
There are two opaque boxes, each containing 3 identical small balls, numbered 1, 2, and 3, respectively. Player A randomly draws a ball from one box, and player B randomly draws a ball from the other box. The player who draws the ball with the higher number wins (if the numbers are the same, it's a tie). What is the probability that player A does not win?

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