Bayes at the Bedside and Rx-Bayes come with databases of likelihood ratios and help doctors estimate probabilities from their phones. I met somebody at Singularity Summit 2011 who used one of them, but I can't remember which.

 

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SymCAT is another piece of software that appears* to use Bayesian methods to suggest possible diagnoses (it has a mobile app for Android).

*they don't actually mention "Bayes" (or give much detail at all) in any of the descriptions I can find, but they talk about machine learning and "frequency and likelihood", as well as giving giving the probability of each possible diagnosis given the symptoms.