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?

Guest Apr 14, 2022

#3**+1 **

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

Vinculum Apr 14, 2022