
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
Athlete A randomly chooses a restaurant to dine at on the first day. If they go to Restaurant A, the probability of going to Restaurant A on the second day is 0.7, and if they go to Restaurant B, the probability of going to Restaurant A on the second day is 0.5. Calculate the probability that Athlete A will go to Restaurant A on the second day.

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