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Why does lotteries exist?
It doesn't help the answerer know anything about the question. You can't really be an expert in math questions about lotteries. It doesn't even have a tag description.
The original problem is there are $r$ identical boxes and $n$ identical balls. Every box is nonempty. Then how many ways of putting balls in boxes?
It is equivalent to the problem of finding integer solutions for the equality:
$$x_1+x_2+...+x_r= n$$
and $x_i>0$ for all $1\leq i\leq r$.
Editte...6
Given odds $o_i$ for $i=1,2,\ldots,n$ and the possibility to bet the amount $b_i\in \mathbb{R}$ on each event such that if event $i$ occurs you receive $b_io_i$ and if it doesn't you recieve $-b_i$. I am trying to find out the condition for arbitrage. My immediate thoughts are that $1/o_i$ repres...
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Say we have a gambler who makes money through sports betting. My aim is to develop a model to help our gambler maximise his winnings and minimize losses.
In my model, rather than betting a fixed amount of money, the gambler bets a certain fraction $0 < r < 1$ of his current betting fund. He cont...
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Recently I came across this article about sports betting arbitrage. The article gives formulas for calculating arbitrage profit and individual bet amounts for a two-outcome event. But it doesn't prove that those formulas will always yield the optimal arbitrage profit. Those formulas are reproduce...
Quite recently the betting has been created. However, for a long time there is a tag called gambling. To me the two tags seem rather similar
Personally, I do not see great need for a new tag. And a quick search suggests that this tag has been used in the past for questions about betting.
What w...
We know the following theorem:
Theorem (Hardy-Littlewood). Let $(b_n)$ be a real sequence such that
(i) $(nb_n)$ is bounded,
(ii) $\displaystyle\lim_{x\to 1^-} \sum_{n=0}^\infty b_n x^n=\ell$.
Then $\sum b_n$ converges and $\displaystyle\sum_{n=0}^\infty b_n=\ell$.
The que...
