# 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

As you can find out from Conditional entropy calculator, conditional entropy ** H(Y|X)** can be seen as the result of averaging

**over all possible values**

*H(Y|X=v)***that**

*v***may take. So, the calculator below computes all**

*X***and all**

*H(Y|X=v)***given a joint distribution table**

*H(X|Y=v)***, and displays them in two tables. You can find the formula below the calculator.**

*(X, Y) ~ p*In order to calculate the specific conditional entropies you should enter the joint distribution matrix where the cell value for any ** i** row and

**column represents the probability of the outcome, .**

*j*### Specific conditional entropy formula

Specific conditional entropy of ** Y** for the

**taking the value**

*X***is the entropy of**

*v***among only those outcomes in which**

*Y***has the value**

*X***. That is,**

*v*
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