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?

Blizzardshine May 13, 2022

#2

#5**+1 **

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

BuilderBoi May 13, 2022

#7**+2 **

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

Melody May 14, 2022