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

Answer:

4/9 or 0.44

Step-by-step explanation:

Two sticks : x and 1-x

Find the probability that $\frac{x}{1-x}$  less than $\frac{4}{5}$  

$P( \frac{x}{1-x} < \frac{4}{5} )$ = 4/9

attached below is the detailed solution