
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
Molly flips a fair coin eight times, each time surprisingly landing on heads. After the coin flips, she rolls a fair six-sided die. Calculate the probability that:
a) Molly will flip tails on her next coin flip, and
b) the die roll results in either a 1 or a 2.

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