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army1987 comments on Jokes Thread - Less Wrong Discussion

25 Post author: JosephY 24 July 2014 12:31AM

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Comment author: Lumifer 24 July 2014 05:29:52PM 0 points [-]

If the distribution is symmetrical, then the probability density at .5 will be unchanged after a single coin toss.

In the continuous-distribution world the probability density at exactly 0.5 is infinitesimally small. And the probability density at 0.5 plus-minus epsilon will change.

No they don't.

Yes, they do. We're talking about expected values of coin tosses now, not about the probabilities of the coin being biased.

Comment author: [deleted] 24 July 2014 05:53:29PM 2 points [-]

In the continuous-distribution world the probability density at exactly 0.5 is infinitesimally small.

That's not what a probability density is. You're thinking of a probability mass.

Comment author: Lumifer 24 July 2014 06:14:28PM 2 points [-]

Yes, you are right.