import openai

client = openai.OpenAI(
    api_key = "YOUR_POE_API_KEY",  # or os.getenv("POE_API_KEY")
    base_url = "https://api.poe.com/v1",
)

response = client.responses.create(
    model = "gemini-2.5-flash-lite",
    input = "You have two coins that look identical. One is fair (50% heads, 50% tails) and the other is a trick coin that always lands on heads. You pick a coin at random, flip it once, and it comes up heads. What is the probability that you picked the trick coin?"
)

print(response.output_text)