
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 three urns with balls. The first urn contains 5 blue and 3 red balls, the second urn contains 4 blue and 4 red balls, and the third urn contains 8 blue balls. One urn is chosen at random and a ball is drawn from it at random. What is the probability that the drawn ball is red (event $A$)?

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