# Joint Entropy Calculator Online

### Joint Entropy Calculator Description

An entropy measure used in information theory is the joint entropy. The joint entropy quantifies the amount of entropy that a joint system of two random variables has. The joint entropy is denoted by the letters H if X and Y are the random variables (X,Y).

**Joint Entropy Calculator:**

Example Input P⟮x、y⟯ : 1/2, 1/4, 1/4, 0

Values must be in between 0 and 1

### Joint Entropy Calculator Explanation

#### Explanation

The quantity of information we receive when observing X and Y simultaneously is known as the joint entropy.

If random variables X and Y are mutually independent, then their joint entropy H(X, Y) is just the sum H(X)
+ H(Y) of its component entropies. If they are not mutually independent, then their joint entropies will be H(X)
+ H(Y) - I(X;Y) where I(X;Y) is the mutual information of X and Y

#### How to use Calculate Joint Entropy using Calculator?

- You need to enter the value of P - Probabilities in the first input field given in the form. Remember each probability is seperated with comma.
- The result will automatically appear below.

#### More Calculation Examples (Joint Entropy Examples)

- Probabilities - P: 0.1, 0.4, 0.5, 0.7
- Joint Entropy = 1.7211652684245
- Probabilities - P: 0.2, 0.3, 0.9, 0.1
- Joint Entropy = 1.4544708908166
- Probabilities - P: 0.6, 0.7, 0.2, 0.4, 0.1
- Joint Entropy = 2.1277302439017
- Probabilities - P: 0.2, 0.8, 0.3
- Joint Entropy = 1.2430177731372

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