
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 biased coin flips with the probability of heads being $\frac{3}{5}$ and tails being $\frac{2}{5}$. The outcomes of the flips are independent. A player must choose between Game A and Game B. In Game A, the coin is flipped four times and the player wins if all four outcomes are the same. In Game B, the coin is flipped five times; the player wins if the first two flips result in the same outcome and the last three flips also result in the same outcome but do not need to match the first two flips. Compare the probabilities of winning Game A and Game B.

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