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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?

 Apr 14, 2022
 #1
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4/25

 Apr 14, 2022
 #2
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thats wrong.

Guest Apr 14, 2022
 #3
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The shortest stick must be between 0 and 5/3.  The probability that it is longer than 3 is, therefore:

(5/3 − 3) / (5/3 − 0)

(-4/3) / (5/3)

-4/5

So the probability that both of the shortest sticks are longer than 3 is (-4/5)² = 16/25.

 

 

I actually don't really know how to solve this one so I used this https://brainly.com/question/17139544 as a reference.

 

Hopefully, it is correct

 

-Vinculum

 Apr 14, 2022

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