Flip Comparison
You and your friend are playing a game where you flip a fair coin. The goal is to see which sequence appears first: $ \text{HTH} $ (Heads-Tails-Heads) or $ \text{HHT} $ (Heads-Heads-Tails). If $ \text{HTH} $ appears first, you win; if $ \text{HHT} $ appears first, your friend wins. What is the probability that your friend wins this game?
Answer format: round to 3 decimal places.
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