
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 community holds a "Welcome May 1st" calligraphy and painting competition. The elderly participating in the competition account for $\frac{3}{5}$, middle-aged people account for $\frac{1}{5}$, and children account for $\frac{1}{5}$. The probabilities of the elderly, middle-aged, and children winning prizes are $0.6$, $0.2$, and $0.1$ respectively. Calculate the probability of selecting an award-winning work.

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