Discrete random mode

Just like when working with any data involving probabilities:

The mode is the value with the highest probability.

We know this, because the mode is defined as the value that appears most frequently in a data set. In the case of probability, the one that occurs most frequently is the one with the highest probability, which then gives us that fact.

Notation

We can write the mode of a list of values as just .

Calculating the mode

If we have a probability distribution table, like this:

1	0.1
2	0.3
3	0.2
4	0.4

Then we can see that the value with the highest probability is 4, which has a probability of 0.4. So the mode is 4, which we can write as: