
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
1. The probability of getting heads when a coin is tossed 5 times consecutively is $\_\_\_\_\_\_\_\_$.
2. Weather stations A and B make weather forecasts simultaneously. If the probabilities of their accurate forecasts are 0.8 and 0.7 respectively, the probability that both stations make accurate forecasts in a single prediction is $\_\_\_\_\_\_\_\_$.

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