It can be defined as mating between two organisms that are not influenced by any hereditary, social or environmental interaction.
Panmixia is a term used for random mating in which all individuals have equal potential to mate with all other members of the opposite sex.
It is an important concept of the Hardy Weinberg Principle.
Random mating allows the species to achieve genetic variation.
Example :
Humans are an example of random mating because any male can select any female to mate randomly.
The population of beetles where any beetle can choose any other beetle to mate irrespective of their external and internal conditions is also an example of random mating.