Question

Consider X ∼ Uniform(0,1) as the point where a stick of unit length is broken at random. So after the stick breaks, you will have two sticks of lengths x and 1 − x. Find the probability that x (also called the

5

1−x

odds) is less than 4. Hint: You can treat the inequality inside the probability statement as you would any

other inequality.

Answer 1

4/9 or 0.44

Explanation:

Two sticks : x and 1-x

Find the probability that
`(x)/(1-x)` less than
`(4)/(5)`

`P( (x)/(1-x) < (4)/(5) )` = 4/9

attached below is the detailed solution