Sunday, February 21, 2010

Chewing Gum in Puzzlaria

Gum chewers comprise 78% of all the people of Puzzlaria.
People under the age of 15 are 35% of the population.


If you select a Puzzlarian resident at random, what is the probability that the person is not a gum chewer and above the age of 15?

5 Comments:

Anonymous Wizard of Oz said...

Would you let your baby choke on chewing gum?
Assuming that you would, the obvious answer would appear to be 65% * 22% = 14.3%.
Because it's the obvious answer it's probably the wrong answer.
So, either I'm right in my answer or right in thinking it's wrong.
Either way, I win.

February 21, 2010 1:09 PM  
Blogger Chris said...

I concur with Wiz. Prob of > 15 = 1 - 0.35 = 0.65
Prob of non-chewer = 1 - 0.78 = 0.22

Altogether => 0.22*0.65 = 0.143

Wiz, is there anoher way of looking at this?

February 21, 2010 1:15 PM  
Blogger Chris said...

Wiz and I assumed that it is equally likely that you are a gum chewer regardless of you age.

February 21, 2010 1:17 PM  
Blogger Zaux said...

excuse me for a moment ... have to discard my gum ....

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oh yeah, you guys are right

February 21, 2010 2:22 PM  
Blogger Chris said...

Zaux. I calculate that you must be 78% of the people of Puzzlaria.

February 21, 2010 2:35 PM  

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