How to get random value of attribute of Enum on each iteration?

As others have said, the best way is to just make random() be a method on your enum class to make it clear that RANDOM is not a member.

However, since I like puzzles:

from enum import Enum
import random

class enumproperty(object):
    "like property, but on an enum class"

    def __init__(self, fget):
        self.fget = fget

    def __get__(self, instance, ownerclass=None):
        if ownerclass is None:
            ownerclass = instance.__class__
        return self.fget(ownerclass)

    def __set__(self, instance, value):
        raise AttributeError("can't set pseudo-member %r" % self.name)

    def __delete__(self, instance):
        raise AttributeError("can't delete pseudo-member %r" % self.name)

class Gender(Enum):
    FEMALE = 'female'
    MALE = 'male'
    @enumproperty
    def RANDOM(cls):
        return random.choice(list(cls.__members__.values()))

In your full_name definition, using Gender.RANDOM as a default value will not get you what you want. The standard for such is:

def full_name(gender=None):
    if gender is None:
        gender = Gender.RANDOM   # we get `MALE` or `FEMALE`, not `RANDOM`

Which is going to be confusing to the reader. This is much better using a normal method:

def full_name(gender=None):
    if gender is None:
        gender = Gender.random()

You probably should create a method in your Enum to obtain a random gender:

import random
import enum

class Gender(enum.Enum):
    FEMALE = 'female'
    MALE = 'male'

    @classmethod
    def get_gender(cls):
        return random.choice([Gender.FEMALE, Gender.MALE])

Gender.get_gender()

I tried a way with metaclasses. And it works!

import random
import enum
class RANDOM_ATTR(enum.EnumMeta):
    @property
    def RANDOM(self):
        return random.choice([Gender.MALE, Gender.FEMALE])


class Gender(enum.Enum,metaclass=RANDOM_ATTR): #this syntax works for python3 only
    FEMALE = 'female'
    MALE = 'male'


print(Gender.RANDOM)   #prints male or female randomly

Here by making RANDOM_ATTR the metaclass of Gender, Gender is like an object of class RANDOM_ATTR, so Gender has the property RANDOM.

However,the below code you described in your question doesn't work the way you expect.

def full_name(gender=Gender.RANDOM):
    ...

The RANDOM property will be called only once. To know why, please read this answer. Default arguments are like attributes to function, which will be initialised only once.

For that i would suggest you do something like this:

def full_name(gender=None):
    gender = gender or Gender.RANDOM
    ...