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# Specific Conditional Entropy

This online calculator calculates entropy of Y random variable conditioned on specific value of X random variable and X random variable conditioned on specific value of Y random variable given a joint distribution table (X, Y) ~ p This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/8417/. Also, please do not modify any references to the original work (if any) contained in this content.

As you can find out from Conditional entropy calculator, conditional entropy H(Y|X) can be seen as the result of averaging H(Y|X=v) over all possible values v that X may take. So, the calculator below computes all H(Y|X=v) and all H(X|Y=v) given a joint distribution table (X,Y) ~ p, and displays them in two tables. Formula can be found below the calculator.

In order to calculate the specific conditional entropies you should enter the joint distribution matrix where the cell value for any i row and j column represents the probability of the outcome, . #### Specific Conditional Entropy

Digits after the decimal point: 2
H(Y|X)

H(X|Y)

### Specific conditional entropy formula

Specific conditional entropy of Y for the X taking the value v is the entropy of Y among only those outcomes in which X has the value v. That is,

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