
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 jar has $15$ red candies and $5$ blue candies. Terry picks two candies at random, then Mary picks one of the remaining candies at random. Calculate the probability that all picked candies are of the same color.

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