
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
Container X holds 7 blue balls and 3 yellow balls; container Y holds 5 blue balls and 5 yellow balls; container Z holds 8 blue balls and 2 yellow balls. A container is selected at random and then a ball is randomly selected from that container. What is the probability that the ball selected is yellow?

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