# Joint entropy

Online calculator. This online calculator calculates joint entropy of two discrete random variables given a joint distribution table (X, Y) ~ p.

#### Input

$$Input=0.5\ 0.25\ 0.25\ 0$$

#### Solution

$$Joint\ Entropy\ H(X,Y) = 1.5000000000001$$

#### Joint Entropy Formula

$$Joint Entropy ={\sum_{i=1}\sum_{i=1}P(x,y)log_{2}\left[P(x,y\right)]}$$ $$x$$ and $$y$$ are particular values of $$X$$ and $$Y$$, respectively
$$P(x,y)$$ is the joint probability of these values occurring together, and $$P(x,y)\log _{2}[P(x,y)]$$ is defined to be $$0$$ if $$P(x,y)=0_1$$

Online calculator. This online calculator calculates joint entropy of two discrete random variables given a joint distribution table (X, Y) ~ p.

A.