
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 $6$ balls in a bag, of which $4$ are white and $2$ are red. Two balls are randomly drawn from the bag. Find the probability of the following events:

$(1)A$: Both drawn balls are white;

$(2)B$: One of the drawn balls is white, and the other is red.

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