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Results tagged with probability
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user 9026
A mathematical puzzle whose essential nature involves randomness. Use with [mathematics]
2
votes
Eccentric Millionaire Probability Paradox
The fact that she has been brought to an office and not left in the holding cell gives her new information.
There is no new information here.
So what should Alice do?
- 196
5
votes
Flipping a randomly-lopsided coin
The answer:
Reasoning:
The probability of getting $k$ heads is
$$p(k) = \int_0^1 \binom{10}k x^k(10-x)^{10-k}dx$$
Integrating $p(k+1)$ by parts yields
$$p(k+1) = \int_0^1 \binom{10}{k+1}\frac{k+1}{ …
- 196