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Results tagged with mathematics
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user 9026
A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.
3
votes
Thirteen politicians
The discussion was later carefully investigated by the political analysts, and it turned out that at least one of the politicians had correctly stated the total number of lies told before he made h …
- 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