Re: Independence versus mutual exclusivity

From: Virgil (ITSnetNOTcom#virgil_at_COMCAST.com)
Date: 10/18/04 

Date: Sun, 17 Oct 2004 18:19:16 -0600

In article <8cb846f1.0410171111.3fd968be@posting.google.com>,
 adoug48@comcast.net (adh) wrote:

> A single card is drawn one at a time from an ordinary deck of cards.
> Give examples of events "A" and "B" associated with this experiment
> that are: (answer can not involve two or more different draws) For
> example, "A" might be that the card drawn is red.
> I understand mutual exclusive is neither events can possibly occur
> and independent means an events doesn't rely on another event to
> happen. I'm going round and round with this problem, can someone
> please help?
>
> Give examples for each:
> a. Mutually exclusive but not independent
> b. independent but not mutually exclusive
> c. Independent and mutually exclusive
> d. Neither independent nor mutually exclusive

Draw one card from a standard deck:

(a) Getting a spade vs getting a heart are mutually exclusive but not
independent;

(b) Getting a spade vs getting an ace are independent but not mutually
exclusive;

(c) Independence and mutually exclusiveness are mutually exclusive, they
cannot both occur at once with any pair of events.

(d) Let A be the event of getting either an ace or a spade and B be the
event of getting a heart, then A and B are neither independent nor
mutually exclusive.

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