Independent Events
The probability of an event does not affect the probability of the next event. So for example tossing a coin does not affect the probability of the next flip.
Dependent Events
Two events are dependent when the probability of one influences the likelihood of the other event.
Joint Probability
Is the probability of two or more indepentent events happening together. It is calculated by multiplying the probability of each independent event. So the probility of tossing a coin and getting Heads twice in a row is calculated like this
P(H) * P(H) = 0.5 * 0.5 = 0.25
Probability Distributions
If we use probability distributions for localization, when the distribution is uniform (all values are the same) it is known as the state of Max Confusion, as it is equally possible to be located on anywhere.