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A stick is 5 units long. It is broken at two points, chosen at random. What is the probability that all three pieces are longer than 1 unit?

Thanks so much for help in advance :)

 Mar 8, 2020
 #1
avatar+108688 
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You need to use a contour probability map for this.

 

Let the three pieces be  x,y and 5-x-y units long where

 

Sorry there is a problem with LaTex today. I will add my latex as a picture.

 

I think that about covers the original constrains. Graph this region on a number plane.

Now,

we want to know what proportion of this has all there pieces greater than 1 unit.

That will be where

x>1

y>1

5-x-y>1

 

Graph it and see what you get.

 

Note:  I have not answered this question. I have just given you an outline of the method that I would use.

 Mar 8, 2020
edited by Melody  Mar 8, 2020
edited by Melody  Mar 8, 2020
 #2
avatar+108688 
0

Thanks for your response 'Somehelpplease'

That is sarcasm by the way.

 Mar 15, 2020

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