Simple, exact inference for 2 x 2 tables

Exact inference for odds-ratio tests and confidence intervals relies on sophisticated algorithms, typically found only in the specialize software. This tends to discourage the use of exact methods in the analyses of 2 x 2 tables. We show that by first devolving each corresponding hypergeometric random variable into independent Bernoulli variates, simple and efficient algorithms emerge that are easily programmed in the commonly available software.