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Waiting for Success
🎯 A Different Question
In the binomial distribution, we asked: "In n trials, how many successes?"
Now we flip the question: "How many trials until we get r successes?"
Real-World Examples
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How many slot machine pulls until you win?
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How many calls until you reach a live person?
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How many free throws until you make 10?
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How many items to inspect until you find 3 defects?
Key Difference from Binomial: Here the number of trials X is random, and we're counting trials (not successes). We keep going until we hit our target!