Re: combinations (applied to football games)



On Oct 14, 3:14 pm, magi...@xxxxxxxxxxxxxxxxx (Arturo Magidin) wrote:
In article <nS6Jk.50$Tu6...@xxxxxxxxxxxx>,

Robert Bencomo <rbenc...@xxxxxxxxxxx> wrote:
I know these are dumb questions, but I really need
closure on this....

Suppose we have TWO football games going on,
Dolphins vs Rams, and Bears vs Falcons.  How many total
outcomes can result from these 2 games???  My guess
is THREE, is that correct??...  i.e:

1) Dolphins win & Bears win
2) Rams win & Falcons win
3) Dolphins win & Falcons win

I think those are ALL the possibilities, right??

You mean, the rams and the falcons cannot both win?

Actually, he listed that case. He overlooked Rams & Bears
both winning. And technically, it's still possible for a
game to end in a tie.


And finally, what if I have THREE games going on???
Dolphins vs Rams, Bears vs Falcons, and Lions vs Cardinals??
How many total outcomes would I have here??

Each game has two possible outcomes (three if you consider ties),
so it's 2*2*2 (3*3*3). And for your unasked question about 14 games
in a football pool, it's 2*2*2*2*2*2*2*2*2*2*2*2*2*2 but few people
would think every possibility is equally likely.


How many do you think?

--
======================================================================
"It's not denial. I'm just very selective about
 what I accept as reality."
    --- Calvin ("Calvin and Hobbes" by Bill Watterson)
======================================================================

Arturo Magidin
magidin-at-member-ams-org

.



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