Independent and Identically Distributed

This is a very common assumption we have.

Independent means Independence (Statistics). Identically distributed means they both follow the same distribution.

Independent?Identically Distributed?Example
YesYesTwo coins are flopped. X = 1 if heads and 0 if tails on the first flip, Y = ” ” on the 2nd flip
YesNoX = flip a coin (H), Y = take a card (Ace)
NoYesA fair coin is tossed twice. X = # heads, Y = 2 -X, so Y represents the # tails
NoNoA fair coin is tossed 3 times. X = # heads, Y = abs(# heads - # tails)