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More ways to get Braingle...

Jellybean Party Favors

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#44169
Fun:*** (2.25)
Difficulty:*** (2.9)
Category:Probability
Submitted By:javaguru*us**
Corrected By:javaguru

 

 

 



Rex is having a party and has prepared party favors for his guest. As each guest arrives they are given a small paper bag of licorice and cherry jellybeans. Each bag has the same number of jellybeans, but no two bags have the same combination of cherry and licorice jellybeans.

Altogether there are 42 bags of jellybeans and 41 jellybeans in each bag. What is the probability that the first three jellybeans a guest randomly removes from her bag are the same flavor?





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Comments

Zag24Aus*
Mar 02, 2009

javaguru, you have made a lot of interesting puzzles. I love these ones that, on first blush, seem like way too much computation to figure out, but suddenly simplify if you just look at it the right way. Great puzzle.
(user deleted)
Mar 07, 2009

wow you must be really smart but this 2 hard try and make it more easy k thanks
EntangledQuark*us
Mar 11, 2009

Great teaser! I was a good ways into solving it the hard way when I realized there was a pattern I was missing. Took me a while to figure out what it was and then to see that the solution was a constant. I did it without the hint!

Oh, and PLEASE don't dumb down your teasers--there are already enough easy and dumbed-down teasers here. Your teasers are real diamonds amongst the coal. I'm working my way through them--I'm determined to solve all of them without using the hints. Please DO make more of the same.
javaguru*us*
Mar 11, 2009

Thanks! Glad you like them. They're a lot of work to create, but it's a real blast when I get responses like these from Zag24 and you! If you like hard, you'll love my next one: "Rex and Ralph: Conglomerate Valuation".
WildArabian*se*
Mar 17, 2009

Wow I blow a few brain circuits every time I try 2 solve 1 of these
RebelAirAus*
Mar 21, 2009

2 flavors, 50% chance.
All that math confused me.
bradon182001*us*
Apr 30, 2009

I must admit I was overwhelmed at first, but after settling down and reasoning it out, I got it. Thanks for posting. Great teaser.
(user deleted)
May 17, 2009

Great teaser!
PaladinAus**
Aug 07, 2009

The hint helped tremendously. I never took any probability, but I was a math major. Once I knew 42 & 41 had the same probability as 26 & 25, I automatically went to the simplest form (4 & 3) and wrote out the permutations:

CCC
CCL
CLL
LLL

And from there I could see these were also the 4 possible draws one could make when drawing out 3 beans, and of the 4 possibilities, 2 of them yielded the required results, so there was a 50% chance.

I love the math teasers, and yours are the best. Keep them coming!
Rainbownerd*
Dec 03, 2011

i got freaked by the answer its so long



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