# How to run a successful dating website

If you want to start your own moneymaking site for love connections, try these five strategies.Information may be abridged and therefore incomplete.For more information, see the latest announcement from the NBER's Business Cycle *Dating* Committee, dated 9/20/10.

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Each financial situation is different, the advice provided is intended to be general.

v) The zero comes from the fact that if the first j terms ).

vii) is because if there is no **run** of K heads in the first j trials, but the last K-1 of those j trials are all heads, then the chance that there will be a **run** of K in the first j 1 trials is just the chance that the next trial comes up heads, which is p.

The short answer: the probability, S, of getting K or more heads in a row in N independent attempts (where p is the probability of heads and q=1-p is the probability of tails) is: Note that here is the choose function (also called the binomial coefficients) and we are applying a non-standard convention that for which makes the seemingly infinite sums always have only a finite number of terms.

In fact, for N and K fixed, the answer is a polynomial with respect to the variable p.

What are the main (preferably simplest) approximations and why are they used instead of an analytic solution? If you’re looking for the discussion of the gross philosophy, and not the detailed math, skip down to where you find the word “Jabberwocky” in bold.

If you want specific answers for fixed, small numbers of coins, or you want sample computer code for calculating the answer, go to the bottom of the article.

When done right, these sites can be lucrative and require minimal effort to maintain.

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