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That is very far off. The correct answer is 1.515 Your concept of “green survives” appears to be the problem.

I put the precise calculations into a spreadsheet (it only took a few minutes) and got 1.514988104

Alternatively, you could note that the probabilities above are related to each other by: Probability that precisely the last (r+1)...

Here's some pseudo-code: Specify number of balls of each colour R = 40, B = 35, G = 25, N = R + B + G Initialize expectation value E =...

If you can revolutionise physics in your spare time, why are you wasting your talents on software development?

Where did you get that idea from?

PS multiply the probability in each case by the relevant number to get the contribution to the expected value.

You could crunch a precise answer using a program. Calculate the probability of the last card being 1-40 red, then 1-35 blue and 1-25...

If you lay the 100 cards out in a row, there is a statistical symmetry going first to last or last to first.

Highly recommended, but very math-heavy. Fine for math nerds like me, but others may not enjoy it as much as I did. Thanks Bill

I rather enjoy Sean's books. But Sean does not point out one important fact (I can link to an advanced paper on it, but at this level...

:welcome:

From a logical point of view, human experience is a sufficient condition for intelligence, but that does not imply that it is a...

I would suggest something weaker. That a (measureable) element of intelligence might arise from linguistics alone. An LLM might have...

I am falling behind with my responses, so bear with me as I try to catch up. No different from humans. I keep coming back to this. We...