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A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are shorter than $3$ units?

 May 13, 2022
 #1
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Using geometric probability, the answer is 11/20.

 May 13, 2022
 #2
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It says it's wrong...

 May 13, 2022
 #3
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See the answer and the Graph here:  https://web2.0calc.com/questions/probability_11169#r1

Guest May 13, 2022
 #4
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I don't see the graph. Are you sure this is correct?

Blizzardshine  May 13, 2022
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MaxWong answered this question on the link provided, and according to him, the answer is \(13 \over 50\)

 

Here is the answer: https://web2.0calc.com/questions/probability_11169#r1

 

And here is the link to the graph: https://www.desmos.com/calculator/t08bdptj6k

 May 13, 2022
 #6
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Thanks, but I solved it and the answer was 13/25.

Blizzardshine  May 13, 2022
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Yes it is 13/25     (Max I think you made a small error)

 

Here is my contour probability  graph

 

https://www.geogebra.org/classic/dvwq75sb

 

And here is the pic

 

The purple area of 6.5 units^2 contains all the  favourable outcomes

and the the blue (with purple) area of 12.5 units^2 conatins all possible outcomes.

 

6.5/12.5 = 0.52  = 13/25

 

 May 14, 2022
edited by Melody  May 14, 2022

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