# 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 |
---|---|---|

Yes | Yes | Two coins are flopped. X = 1 if heads and 0 if tails on the first flip, Y = ” ” on the 2nd flip |

Yes | No | X = flip a coin (H), Y = take a card (Ace) |

No | Yes | A fair coin is tossed twice. X = # heads, Y = 2 -X, so Y represents the # tails |

No | No | A fair coin is tossed 3 times. X = # heads, Y = abs(# heads - # tails) |