Real world examples of continuous uniform distribution on [0,1] Can someone give me real world examples of uniform distribution on [0,1] of a continuous random variable, because I could not make out one.
Consider a "spinner": an object like an unmagnetized compass needle that can pivots freely around an axis, and is stable pointing in any direction.  You give it a spin and see where it comes to rest, measuring the resulting angle (divided by $2\pi$) as a number from $0$ to $1$.
If there are N raffle tickets sold to N different people, then each ticket holder has the same probability of winning the prize. The distribution is uniform.