Natalie has a copy of the unit interval [0,1] that is colored white. She also has a black marker, and she colors the interval in the following manner: at each step, she selects a value x∈[0,1] uniformly at random, and (a) If x≤21 she colors the interval [x,x+21] with her marker.(b) If x>21 she colors the intervals [x,1] and [0,x−21] with her marker.What is the expected value of the number of steps Natalie will need to color the entire interval black? probabilityexpected value