themurphy,

GPT-4 answered this. I will link it’s calculations down below in the next comment.

The probability of passing the test by brute force guessing (i.e., getting at least one question right) is approximately 68.36%. This includes the scenarios where you get one question right and one wrong, or both questions right.

Additionally, the probability of getting a perfect score (i.e., both questions right) by guessing is approximately 19.14%.

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