
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 player chooses between two games based on the outcomes of coin tosses. In Game C, the player tosses the coin twice and wins if the outcomes are different. In Game D, the player tosses the coin three times and wins if at least two out of three tosses result in tails. Determine the probability of winning in each game.

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