Comments on: Shannon Entropy Rescues the Tuesday Child
https://blog.tanyakhovanova.com/2010/07/shannon-entropy-rescues-the-tuesday-child/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Sat, 27 Sep 2014 01:15:51 +0000
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By: Christ Schlacta
https://blog.tanyakhovanova.com/2010/07/shannon-entropy-rescues-the-tuesday-child/#comment-1483
Sat, 08 Jan 2011 22:17:46 +0000https://blog.tanyakhovanova.com/?p=254#comment-1483you’re both wrong, genetics dictates that the gender and date of birth of the second child are independent from the first, therefore the probability of his second child being a girl is 50/50 regardless of what and when the first child is born and viceversa. The fact that the first child is a boy born on tuesday is simply extra information thrown in to mislead the problem-solver.
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By: misha
https://blog.tanyakhovanova.com/2010/07/shannon-entropy-rescues-the-tuesday-child/#comment-1482
Tue, 06 Jul 2010 17:55:24 +0000https://blog.tanyakhovanova.com/?p=254#comment-1482Another popular interpretation of entropy is the average measure of surprise produced by an outcome of an experiment. Imagine some event of probability p happens. You are surprised by s(p). When another event of probability q happens, you are surprised by s(q). The total surprise is s(p)+s(q). On the other hand, if these events are independent, the probability of both of them happening is pq. We conclude that s(pq)=s(p)+s(q). It means that s(p) is proportional to log(p). Taking the average over all the possible outcomes, we get the entropy formula.
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