
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
A box contains 5 balls of the same size, including 3 white balls and 2 red balls. Two balls are drawn from the box.  
$(1)$ Find the probability of drawing 1 white ball and 1 red ball.  
$(2)$ Let $X$ represent the number of white balls drawn out of the 2 balls. Find the distribution of $X$.

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