One true story about Bayes' Theorem that grabbed me when I read it:

My most memorable encounter with the Reverend Bayes came one Friday afternoon in 1989, when my doctor told me by telephone that the chances were 999 out of 1,000 that I'd be dead within a decade. He added, "I'm really sorry," as if he had some patients to whom he would say he is sorry but not mean it.

The author went on to explain that he and his wife had applied for life insurance and had been rejected on the ground that he had apparently tested "positive" for HIV.

I'm reminded that a good portion of the LW community wasn't born in 1989. From what I personally remember about that year, I suggest that this news must have been devastating. For one thing, as I recall, homosexuality was much more heavily stigmatized in general society than it is now. Also, AIDS (in the popular perception) represented a sentence of death by agonizingly slow torture -- I remember hearing about a friend of a colleague who spent months gagging on the growths on his tongue, to name only one of his afflictions. Antiviral treatment was on the way, but nobody knew that in 1989.

The author describes his receipt of this news dryly, but at the time, it must have been as if he had been told: "You're going to die in agony, prolonged over the course of months, if not years. I don't know or care how you got it, but I and everyone else in the world will assume it's because you've been cheating on your wife with homosexual prostitutes. Oh, you should let her know that you've probably infected her, too, dooming her to your horrible disgusting fate. Have a nice day!"

Later on, it turned out to have been a simple mistake -- the test was a false positive, and the 999 out of 1,000 figure had been based on a lack of understanding about Bayes' Theorem.

This talk about Bayes' Theorem by Richard Carrier may serve as an inspiration.

I'm studying to be a teacher so I'll try and give you some of the theory we get.

First things first: keep in mind who your audience is, this determines what type of lesson is most effective. What age group are they in? What is their foreknowledge of Bayes' Theorem? Do they have any special interests you could use in your class? What subjects are they studying at your college?

If you only get to teach one class on the subject I suggest going easy on the amount of content. You will never be able to fit all of the applications of Bayes Theorem in one hour so pick one or two and make it look awesome. Getting students hooked is the hard part but once you do they'll start learning on their own.

Most people don't like things that are to abstract and long formula's tend to scare them off. Be very specific and use a lot of real world examples. Shokwave made an excellent suggestion here: an overarching theme to serve as a guiding principle. Betting is a good idea but try and give it a very specific setting: horse races, betting on the elections, card games, betting on a sports event (if your college has a sports team you can use them) Let them actually do stuff, don't just give an hour long lecture.

Last but not least: be enthusiastic about the subject! If they see you having fun with it, chances are they'll have a good time as well.

If you can give me some more background information on the students and what content you wish to cover I could throw some ideas your way.

If you send me your email I can send you a copy of a powerpoint I made a while back when I was running a short talk on Bayes Theorem.

most of it I got from here however:

http://commonsenseatheism.com/?p=13156

<3 lukeprog

I think you shouldn't use the doctor example nor any math toy problem example at first. Instead, discuss some easy-to-understand examples from everyday situations first, and only then present the math behind it. Then discuss some mathy problems. Then go back to more everyday situations.

At least for people who aren't afraid of math, understanding the math is relatively straightforward: understanding how it applies to their lives is the tricky part.

Hi, I Sincerely hope you will also put this on youtube....

To make it catchy, you could use the theme of betting. Introduce the concept of acting on beliefs as taking a bet (except you get paid in job offers instead of poker chips and so on) and work from there.

Show them the problem a few days back with the coins and envelopes. That was the best problem to demonstrate the difference between probability as propensity and probability as reasoning based on information that I've ever seen.