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Openai/6933ffb6-9ed8-8010-99bb-a5bc968f2d9b
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=== User: ok, buckle up, Gemini just not only passed the test I verified the answers myself, 3 of 3 right but it did that fairly β¦ === ok, buckle up, Gemini just not only passed the test (I verified the answers myself, 3 of 3 right but it did that fairly easy I must say, and, it give me 3 prompts for you with verifiable answers also. here is the first: "I am on a game show with 3 doors. Behind one door is a car; behind the other two are goats. I pick Door 1. The host, who does not know what is behind the doors, accidentally slips and opens Door 2. To everyone's surprise, it reveals a goat. The host then asks if I want to switch to Door 3. Is it to my advantage to switch, stay, or does it not matter? Calculate the exact probability of winning for switching versus staying."
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