
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
Basket A contains two white balls and three black balls, while Basket B contains a white ball and three black balls. Daniel randomly chooses one of the baskets and then randomly picks a ball from this basket. If he picked a white ball, what is the probability that his chosen basket was Basket A?

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