
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
John has two 20 cent coins and three 50 cent coins in his pocket. He takes two coins out of his pocket, at random, one after the other without replacement. Determine the probability that the total value of the two coins taken out is 70 cents.

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