+0  
 
0
270
3
avatar

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
avatar+69 
0

4/25

 Apr 14, 2022
 #2
avatar
0

thats wrong.

Guest Apr 14, 2022
 #3
avatar+579 
+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

 Apr 14, 2022

1 Online Users

avatar